Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(49,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.r (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 169.7 | ||
Character | \(\chi\) | \(=\) | 690.169 |
Dual form | 690.2.r.b.49.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.989821 | + | 0.142315i | 0.699909 | + | 0.100632i | ||||
\(3\) | −0.909632 | + | 0.415415i | −0.525176 | + | 0.239840i | ||||
\(4\) | 0.959493 | + | 0.281733i | 0.479746 | + | 0.140866i | ||||
\(5\) | −2.14372 | + | 0.635975i | −0.958701 | + | 0.284417i | ||||
\(6\) | −0.959493 | + | 0.281733i | −0.391711 | + | 0.115017i | ||||
\(7\) | 2.47408 | − | 3.84974i | 0.935113 | − | 1.45506i | 0.0451776 | − | 0.998979i | \(-0.485615\pi\) |
0.889936 | − | 0.456086i | \(-0.150749\pi\) | |||||||
\(8\) | 0.909632 | + | 0.415415i | 0.321603 | + | 0.146871i | ||||
\(9\) | 0.654861 | − | 0.755750i | 0.218287 | − | 0.251917i | ||||
\(10\) | −2.21241 | + | 0.324418i | −0.699625 | + | 0.102590i | ||||
\(11\) | −0.00211055 | − | 0.0146792i | −0.000636355 | − | 0.00442595i | 0.989501 | − | 0.144527i | \(-0.0461662\pi\) |
−0.990137 | + | 0.140102i | \(0.955257\pi\) | |||||||
\(12\) | −0.989821 | + | 0.142315i | −0.285737 | + | 0.0410828i | ||||
\(13\) | −1.93109 | − | 3.00483i | −0.535587 | − | 0.833390i | 0.463009 | − | 0.886353i | \(-0.346770\pi\) |
−0.998596 | + | 0.0529637i | \(0.983133\pi\) | |||||||
\(14\) | 2.99677 | − | 3.45846i | 0.800920 | − | 0.924312i | ||||
\(15\) | 1.68580 | − | 1.46904i | 0.435272 | − | 0.379304i | ||||
\(16\) | 0.841254 | + | 0.540641i | 0.210313 | + | 0.135160i | ||||
\(17\) | −0.817835 | − | 2.78529i | −0.198354 | − | 0.675532i | −0.997253 | − | 0.0740670i | \(-0.976402\pi\) |
0.798899 | − | 0.601465i | \(-0.205416\pi\) | |||||||
\(18\) | 0.755750 | − | 0.654861i | 0.178132 | − | 0.154352i | ||||
\(19\) | 7.13628 | + | 2.09540i | 1.63718 | + | 0.480718i | 0.965560 | − | 0.260182i | \(-0.0837825\pi\) |
0.671616 | + | 0.740900i | \(0.265601\pi\) | |||||||
\(20\) | −2.23606 | + | 0.00625769i | −0.499998 | + | 0.00139926i | ||||
\(21\) | −0.651260 | + | 4.52962i | −0.142117 | + | 0.988443i | ||||
\(22\) | − | 0.0148302i | − | 0.00316180i | ||||||
\(23\) | −4.29463 | − | 2.13452i | −0.895491 | − | 0.445079i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 4.19107 | − | 2.72670i | 0.838214 | − | 0.545341i | ||||
\(26\) | −1.48380 | − | 3.24907i | −0.290997 | − | 0.637194i | ||||
\(27\) | −0.281733 | + | 0.959493i | −0.0542195 | + | 0.184655i | ||||
\(28\) | 3.45846 | − | 2.99677i | 0.653587 | − | 0.566336i | ||||
\(29\) | 6.47189 | − | 1.90032i | 1.20180 | − | 0.352880i | 0.381259 | − | 0.924468i | \(-0.375491\pi\) |
0.820541 | + | 0.571588i | \(0.193672\pi\) | |||||||
\(30\) | 1.87771 | − | 1.21417i | 0.342821 | − | 0.221676i | ||||
\(31\) | 1.24883 | − | 2.73455i | 0.224296 | − | 0.491139i | −0.763710 | − | 0.645560i | \(-0.776624\pi\) |
0.988005 | + | 0.154421i | \(0.0493513\pi\) | |||||||
\(32\) | 0.755750 | + | 0.654861i | 0.133599 | + | 0.115764i | ||||
\(33\) | 0.00801779 | + | 0.0124759i | 0.00139572 | + | 0.00217178i | ||||
\(34\) | −0.413122 | − | 2.87333i | −0.0708499 | − | 0.492772i | ||||
\(35\) | −2.85539 | + | 9.82622i | −0.482649 | + | 1.66093i | ||||
\(36\) | 0.841254 | − | 0.540641i | 0.140209 | − | 0.0901068i | ||||
\(37\) | 2.52487 | + | 2.18781i | 0.415086 | + | 0.359674i | 0.837227 | − | 0.546856i | \(-0.184176\pi\) |
−0.422140 | + | 0.906531i | \(0.638721\pi\) | |||||||
\(38\) | 6.76544 | + | 3.08967i | 1.09750 | + | 0.501211i | ||||
\(39\) | 3.00483 | + | 1.93109i | 0.481158 | + | 0.309221i | ||||
\(40\) | −2.21419 | − | 0.312030i | −0.350094 | − | 0.0493363i | ||||
\(41\) | −2.38170 | − | 2.74863i | −0.371959 | − | 0.429264i | 0.538652 | − | 0.842529i | \(-0.318934\pi\) |
−0.910611 | + | 0.413265i | \(0.864388\pi\) | |||||||
\(42\) | −1.28926 | + | 4.39083i | −0.198938 | + | 0.677519i | ||||
\(43\) | 6.63915 | − | 3.03200i | 1.01246 | − | 0.462375i | 0.161090 | − | 0.986940i | \(-0.448499\pi\) |
0.851371 | + | 0.524565i | \(0.175772\pi\) | |||||||
\(44\) | 0.00211055 | − | 0.0146792i | 0.000318178 | − | 0.00221297i | ||||
\(45\) | −0.923200 | + | 2.03659i | −0.137623 | + | 0.303597i | ||||
\(46\) | −3.94714 | − | 2.72399i | −0.581974 | − | 0.401630i | ||||
\(47\) | 0.920854i | 0.134320i | 0.997742 | + | 0.0671602i | \(0.0213938\pi\) | ||||
−0.997742 | + | 0.0671602i | \(0.978606\pi\) | |||||||
\(48\) | −0.989821 | − | 0.142315i | −0.142868 | − | 0.0205414i | ||||
\(49\) | −5.79153 | − | 12.6817i | −0.827362 | − | 1.81167i | ||||
\(50\) | 4.53646 | − | 2.10250i | 0.641553 | − | 0.297338i | ||||
\(51\) | 1.90098 | + | 2.19385i | 0.266190 | + | 0.307200i | ||||
\(52\) | −1.00631 | − | 3.42716i | −0.139549 | − | 0.475262i | ||||
\(53\) | −4.07432 | + | 6.33977i | −0.559651 | + | 0.870835i | −0.999631 | − | 0.0271733i | \(-0.991349\pi\) |
0.439979 | + | 0.898008i | \(0.354986\pi\) | |||||||
\(54\) | −0.415415 | + | 0.909632i | −0.0565308 | + | 0.123785i | ||||
\(55\) | 0.0138600 | + | 0.0301259i | 0.00186889 | + | 0.00406217i | ||||
\(56\) | 3.84974 | − | 2.47408i | 0.514443 | − | 0.330613i | ||||
\(57\) | −7.36185 | + | 1.05847i | −0.975101 | + | 0.140198i | ||||
\(58\) | 6.67646 | − | 0.959930i | 0.876662 | − | 0.126045i | ||||
\(59\) | 7.23748 | − | 4.65125i | 0.942240 | − | 0.605541i | 0.0232108 | − | 0.999731i | \(-0.492611\pi\) |
0.919029 | + | 0.394190i | \(0.128975\pi\) | |||||||
\(60\) | 2.03139 | − | 0.934585i | 0.262252 | − | 0.120654i | ||||
\(61\) | −2.74195 | + | 6.00403i | −0.351071 | + | 0.768737i | 0.648899 | + | 0.760875i | \(0.275230\pi\) |
−0.999969 | + | 0.00786238i | \(0.997497\pi\) | |||||||
\(62\) | 1.62528 | − | 2.52899i | 0.206411 | − | 0.321181i | ||||
\(63\) | −1.28926 | − | 4.39083i | −0.162432 | − | 0.553192i | ||||
\(64\) | 0.654861 | + | 0.755750i | 0.0818576 | + | 0.0944687i | ||||
\(65\) | 6.05070 | + | 5.21339i | 0.750498 | + | 0.646641i | ||||
\(66\) | 0.00616067 | + | 0.0134900i | 0.000758326 | + | 0.00166050i | ||||
\(67\) | −5.29761 | − | 0.761682i | −0.647206 | − | 0.0930542i | −0.189109 | − | 0.981956i | \(-0.560560\pi\) |
−0.458098 | + | 0.888902i | \(0.651469\pi\) | |||||||
\(68\) | − | 2.90288i | − | 0.352025i | ||||||
\(69\) | 4.79324 | + | 0.157578i | 0.577039 | + | 0.0189702i | ||||
\(70\) | −4.22474 | + | 9.31983i | −0.504954 | + | 1.11393i | ||||
\(71\) | −1.86038 | + | 12.9392i | −0.220786 | + | 1.53560i | 0.514289 | + | 0.857617i | \(0.328056\pi\) |
−0.735075 | + | 0.677986i | \(0.762853\pi\) | |||||||
\(72\) | 0.909632 | − | 0.415415i | 0.107201 | − | 0.0489571i | ||||
\(73\) | 1.35080 | − | 4.60039i | 0.158099 | − | 0.538435i | −0.841900 | − | 0.539633i | \(-0.818563\pi\) |
0.999999 | + | 0.00119755i | \(0.000381194\pi\) | |||||||
\(74\) | 2.18781 | + | 2.52487i | 0.254328 | + | 0.293510i | ||||
\(75\) | −2.67962 | + | 4.22133i | −0.309416 | + | 0.487437i | ||||
\(76\) | 6.25687 | + | 4.02105i | 0.717712 | + | 0.461246i | ||||
\(77\) | −0.0617328 | − | 0.0281924i | −0.00703510 | − | 0.00321282i | ||||
\(78\) | 2.69942 | + | 2.33906i | 0.305649 | + | 0.264847i | ||||
\(79\) | −13.4044 | + | 8.61449i | −1.50811 | + | 0.969206i | −0.514365 | + | 0.857571i | \(0.671972\pi\) |
−0.993749 | + | 0.111635i | \(0.964391\pi\) | |||||||
\(80\) | −2.14725 | − | 0.623966i | −0.240069 | − | 0.0697616i | ||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | −1.96629 | − | 3.05961i | −0.217140 | − | 0.337877i | ||||
\(83\) | −10.6189 | − | 9.20132i | −1.16557 | − | 1.00998i | −0.999716 | − | 0.0238265i | \(-0.992415\pi\) |
−0.165858 | − | 0.986150i | \(-0.553039\pi\) | |||||||
\(84\) | −1.90102 | + | 4.16265i | −0.207418 | + | 0.454183i | ||||
\(85\) | 3.52458 | + | 5.45076i | 0.382295 | + | 0.591218i | ||||
\(86\) | 7.00307 | − | 2.05629i | 0.755160 | − | 0.221735i | ||||
\(87\) | −5.09762 | + | 4.41711i | −0.546522 | + | 0.473564i | ||||
\(88\) | 0.00417814 | − | 0.0142294i | 0.000445391 | − | 0.00151686i | ||||
\(89\) | −3.94429 | − | 8.63679i | −0.418094 | − | 0.915498i | −0.995111 | − | 0.0987660i | \(-0.968510\pi\) |
0.577017 | − | 0.816732i | \(-0.304217\pi\) | |||||||
\(90\) | −1.20364 | + | 1.88448i | −0.126875 | + | 0.198641i | ||||
\(91\) | −16.3455 | −1.71347 | ||||||||
\(92\) | −3.51930 | − | 3.25800i | −0.366912 | − | 0.339670i | ||||
\(93\) | 3.00621i | 0.311730i | ||||||||
\(94\) | −0.131051 | + | 0.911481i | −0.0135169 | + | 0.0940121i | ||||
\(95\) | −16.6308 | + | 0.0465419i | −1.70629 | + | 0.00477510i | ||||
\(96\) | −0.959493 | − | 0.281733i | −0.0979278 | − | 0.0287542i | ||||
\(97\) | −4.85804 | + | 4.20952i | −0.493259 | + | 0.427412i | −0.865639 | − | 0.500669i | \(-0.833087\pi\) |
0.372380 | + | 0.928081i | \(0.378542\pi\) | |||||||
\(98\) | −3.92779 | − | 13.3768i | −0.396767 | − | 1.35126i | ||||
\(99\) | −0.0124759 | − | 0.00801779i | −0.00125388 | − | 0.000805818i | ||||
\(100\) | 4.78951 | − | 1.43549i | 0.478951 | − | 0.143549i | ||||
\(101\) | −4.91898 | + | 5.67680i | −0.489456 | + | 0.564863i | −0.945720 | − | 0.324982i | \(-0.894642\pi\) |
0.456264 | + | 0.889845i | \(0.349187\pi\) | |||||||
\(102\) | 1.56941 | + | 2.44205i | 0.155395 | + | 0.241799i | ||||
\(103\) | −19.7907 | + | 2.84547i | −1.95003 | + | 0.280373i | −0.999539 | − | 0.0303672i | \(-0.990332\pi\) |
−0.950495 | + | 0.310740i | \(0.899423\pi\) | |||||||
\(104\) | −0.508327 | − | 3.53549i | −0.0498455 | − | 0.346683i | ||||
\(105\) | −1.48460 | − | 10.1244i | −0.144882 | − | 0.988042i | ||||
\(106\) | −4.93510 | + | 5.69541i | −0.479339 | + | 0.553187i | ||||
\(107\) | 8.01342 | + | 3.65961i | 0.774687 | + | 0.353788i | 0.763213 | − | 0.646147i | \(-0.223621\pi\) |
0.0114734 | + | 0.999934i | \(0.496348\pi\) | |||||||
\(108\) | −0.540641 | + | 0.841254i | −0.0520232 | + | 0.0809497i | ||||
\(109\) | 6.68967 | − | 1.96426i | 0.640754 | − | 0.188142i | 0.0548139 | − | 0.998497i | \(-0.482543\pi\) |
0.585940 | + | 0.810354i | \(0.300725\pi\) | |||||||
\(110\) | 0.00943161 | + | 0.0317917i | 0.000899268 | + | 0.00303122i | ||||
\(111\) | −3.20555 | − | 0.941236i | −0.304258 | − | 0.0893381i | ||||
\(112\) | 4.16265 | − | 1.90102i | 0.393334 | − | 0.179629i | ||||
\(113\) | 19.8624 | + | 2.85578i | 1.86849 | + | 0.268649i | 0.981263 | − | 0.192674i | \(-0.0617161\pi\) |
0.887232 | + | 0.461323i | \(0.152625\pi\) | |||||||
\(114\) | −7.43755 | −0.696591 | ||||||||
\(115\) | 10.5640 | + | 1.84455i | 0.985096 | + | 0.172005i | ||||
\(116\) | 6.74512 | 0.626268 | ||||||||
\(117\) | −3.53549 | − | 0.508327i | −0.326856 | − | 0.0469948i | ||||
\(118\) | 7.82576 | − | 3.57390i | 0.720419 | − | 0.329004i | ||||
\(119\) | −12.7460 | − | 3.74257i | −1.16843 | − | 0.343081i | ||||
\(120\) | 2.14372 | − | 0.635975i | 0.195694 | − | 0.0580563i | ||||
\(121\) | 10.5542 | − | 3.09900i | 0.959474 | − | 0.281727i | ||||
\(122\) | −3.56850 | + | 5.55270i | −0.323077 | + | 0.502718i | ||||
\(123\) | 3.30830 | + | 1.51085i | 0.298299 | + | 0.136229i | ||||
\(124\) | 1.96865 | − | 2.27194i | 0.176790 | − | 0.204026i | ||||
\(125\) | −7.25037 | + | 8.51071i | −0.648493 | + | 0.761221i | ||||
\(126\) | −0.651260 | − | 4.52962i | −0.0580189 | − | 0.403530i | ||||
\(127\) | 2.82813 | − | 0.406624i | 0.250956 | − | 0.0360821i | −0.0156886 | − | 0.999877i | \(-0.504994\pi\) |
0.266645 | + | 0.963795i | \(0.414085\pi\) | |||||||
\(128\) | 0.540641 | + | 0.841254i | 0.0477863 | + | 0.0743570i | ||||
\(129\) | −4.77964 | + | 5.51600i | −0.420824 | + | 0.485657i | ||||
\(130\) | 5.24717 | + | 6.02143i | 0.460208 | + | 0.528114i | ||||
\(131\) | 4.49523 | + | 2.88891i | 0.392750 | + | 0.252405i | 0.722080 | − | 0.691810i | \(-0.243186\pi\) |
−0.329330 | + | 0.944215i | \(0.606823\pi\) | |||||||
\(132\) | 0.00417814 | + | 0.0142294i | 0.000363660 | + | 0.00123851i | ||||
\(133\) | 25.7225 | − | 22.2886i | 2.23042 | − | 1.93267i | ||||
\(134\) | −5.13529 | − | 1.50786i | −0.443622 | − | 0.130259i | ||||
\(135\) | −0.00625769 | − | 2.23606i | −0.000538576 | − | 0.192449i | ||||
\(136\) | 0.413122 | − | 2.87333i | 0.0354250 | − | 0.246386i | ||||
\(137\) | 5.96460i | 0.509590i | 0.966995 | + | 0.254795i | \(0.0820080\pi\) | ||||
−0.966995 | + | 0.254795i | \(0.917992\pi\) | |||||||
\(138\) | 4.72203 | + | 0.838124i | 0.401966 | + | 0.0713458i | ||||
\(139\) | −8.45609 | −0.717236 | −0.358618 | − | 0.933484i | \(-0.616752\pi\) | ||||
−0.358618 | + | 0.933484i | \(0.616752\pi\) | |||||||
\(140\) | −5.50809 | + | 8.62373i | −0.465519 | + | 0.728838i | ||||
\(141\) | −0.382536 | − | 0.837638i | −0.0322154 | − | 0.0705418i | ||||
\(142\) | −3.68289 | + | 12.5428i | −0.309061 | + | 1.05256i | ||||
\(143\) | −0.0400328 | + | 0.0346887i | −0.00334771 | + | 0.00290081i | ||||
\(144\) | 0.959493 | − | 0.281733i | 0.0799577 | − | 0.0234777i | ||||
\(145\) | −12.6654 | + | 8.18971i | −1.05180 | + | 0.680119i | ||||
\(146\) | 1.99175 | − | 4.36133i | 0.164839 | − | 0.360946i | ||||
\(147\) | 10.5363 | + | 9.12978i | 0.869021 | + | 0.753011i | ||||
\(148\) | 1.80622 | + | 2.81053i | 0.148470 | + | 0.231024i | ||||
\(149\) | 1.17559 | + | 8.17640i | 0.0963080 | + | 0.669837i | 0.979592 | + | 0.200998i | \(0.0644185\pi\) |
−0.883284 | + | 0.468839i | \(0.844672\pi\) | |||||||
\(150\) | −3.25310 | + | 3.79702i | −0.265615 | + | 0.310025i | ||||
\(151\) | −0.645427 | + | 0.414791i | −0.0525241 | + | 0.0337552i | −0.566639 | − | 0.823966i | \(-0.691757\pi\) |
0.514115 | + | 0.857721i | \(0.328120\pi\) | |||||||
\(152\) | 5.62093 | + | 4.87056i | 0.455918 | + | 0.395055i | ||||
\(153\) | −2.64055 | − | 1.20590i | −0.213476 | − | 0.0974911i | ||||
\(154\) | −0.0570922 | − | 0.0366910i | −0.00460062 | − | 0.00295664i | ||||
\(155\) | −0.938029 | + | 6.65632i | −0.0753443 | + | 0.534649i | ||||
\(156\) | 2.33906 | + | 2.69942i | 0.187275 | + | 0.216127i | ||||
\(157\) | 5.52292 | − | 18.8093i | 0.440777 | − | 1.50115i | −0.377328 | − | 0.926080i | \(-0.623157\pi\) |
0.818105 | − | 0.575069i | \(-0.195025\pi\) | |||||||
\(158\) | −14.4939 | + | 6.61916i | −1.15308 | + | 0.526592i | ||||
\(159\) | 1.07250 | − | 7.45939i | 0.0850547 | − | 0.591568i | ||||
\(160\) | −2.03659 | − | 0.923200i | −0.161007 | − | 0.0729854i | ||||
\(161\) | −18.8426 | + | 11.2522i | −1.48500 | + | 0.886799i | ||||
\(162\) | − | 1.00000i | − | 0.0785674i | ||||||
\(163\) | 10.6817 | + | 1.53580i | 0.836657 | + | 0.120293i | 0.547309 | − | 0.836931i | \(-0.315652\pi\) |
0.289348 | + | 0.957224i | \(0.406562\pi\) | |||||||
\(164\) | −1.51085 | − | 3.30830i | −0.117977 | − | 0.258334i | ||||
\(165\) | −0.0251223 | − | 0.0216458i | −0.00195577 | − | 0.00168512i | ||||
\(166\) | −9.20132 | − | 10.6189i | −0.714161 | − | 0.824186i | ||||
\(167\) | 3.69618 | + | 12.5880i | 0.286019 | + | 0.974092i | 0.969698 | + | 0.244309i | \(0.0785610\pi\) |
−0.683678 | + | 0.729784i | \(0.739621\pi\) | |||||||
\(168\) | −2.47408 | + | 3.84974i | −0.190879 | + | 0.297014i | ||||
\(169\) | 0.100492 | − | 0.220048i | 0.00773018 | − | 0.0169267i | ||||
\(170\) | 2.71298 | + | 5.89688i | 0.208076 | + | 0.452270i | ||||
\(171\) | 6.25687 | − | 4.02105i | 0.478475 | − | 0.307497i | ||||
\(172\) | 7.22443 | − | 1.03872i | 0.550857 | − | 0.0792013i | ||||
\(173\) | 12.3234 | − | 1.77184i | 0.936933 | − | 0.134711i | 0.343100 | − | 0.939299i | \(-0.388523\pi\) |
0.593833 | + | 0.804588i | \(0.297614\pi\) | |||||||
\(174\) | −5.67435 | + | 3.64669i | −0.430172 | + | 0.276454i | ||||
\(175\) | −0.128065 | − | 22.8806i | −0.00968083 | − | 1.72961i | ||||
\(176\) | 0.00616067 | − | 0.0134900i | 0.000464378 | − | 0.00101685i | ||||
\(177\) | −4.65125 | + | 7.23748i | −0.349609 | + | 0.544002i | ||||
\(178\) | −2.67500 | − | 9.11022i | −0.200500 | − | 0.682840i | ||||
\(179\) | −7.35888 | − | 8.49261i | −0.550029 | − | 0.634767i | 0.410861 | − | 0.911698i | \(-0.365228\pi\) |
−0.960890 | + | 0.276931i | \(0.910683\pi\) | |||||||
\(180\) | −1.45958 | + | 1.69400i | −0.108791 | + | 0.126263i | ||||
\(181\) | 6.14801 | + | 13.4623i | 0.456978 | + | 1.00064i | 0.988166 | + | 0.153388i | \(0.0490185\pi\) |
−0.531188 | + | 0.847254i | \(0.678254\pi\) | |||||||
\(182\) | −16.1791 | − | 2.32620i | −1.19927 | − | 0.172430i | ||||
\(183\) | − | 6.60051i | − | 0.487923i | ||||||
\(184\) | −3.01982 | − | 3.72568i | −0.222624 | − | 0.274661i | ||||
\(185\) | −6.80401 | − | 3.08430i | −0.500241 | − | 0.226763i | ||||
\(186\) | −0.427828 | + | 2.97561i | −0.0313699 | + | 0.218182i | ||||
\(187\) | −0.0391598 | + | 0.0178837i | −0.00286364 | + | 0.00130778i | ||||
\(188\) | −0.259434 | + | 0.883553i | −0.0189212 | + | 0.0644397i | ||||
\(189\) | 2.99677 | + | 3.45846i | 0.217983 | + | 0.251566i | ||||
\(190\) | −16.4682 | − | 2.32074i | −1.19473 | − | 0.168364i | ||||
\(191\) | −2.36772 | − | 1.52164i | −0.171322 | − | 0.110102i | 0.452170 | − | 0.891932i | \(-0.350650\pi\) |
−0.623492 | + | 0.781830i | \(0.714287\pi\) | |||||||
\(192\) | −0.909632 | − | 0.415415i | −0.0656470 | − | 0.0299800i | ||||
\(193\) | 15.9895 | + | 13.8550i | 1.15095 | + | 0.997304i | 0.999962 | + | 0.00876797i | \(0.00279097\pi\) |
0.150988 | + | 0.988536i | \(0.451754\pi\) | |||||||
\(194\) | −5.40767 | + | 3.47530i | −0.388248 | + | 0.249512i | ||||
\(195\) | −7.66963 | − | 2.22871i | −0.549234 | − | 0.159601i | ||||
\(196\) | −1.98409 | − | 13.7997i | −0.141721 | − | 0.985689i | ||||
\(197\) | 12.5263 | + | 19.4914i | 0.892464 | + | 1.38870i | 0.921190 | + | 0.389114i | \(0.127219\pi\) |
−0.0287255 | + | 0.999587i | \(0.509145\pi\) | |||||||
\(198\) | −0.0112079 | − | 0.00971169i | −0.000796510 | − | 0.000690179i | ||||
\(199\) | −7.62100 | + | 16.6877i | −0.540238 | + | 1.18296i | 0.420955 | + | 0.907081i | \(0.361695\pi\) |
−0.961193 | + | 0.275875i | \(0.911032\pi\) | |||||||
\(200\) | 4.94505 | − | 0.739263i | 0.349668 | − | 0.0522738i | ||||
\(201\) | 5.13529 | − | 1.50786i | 0.362216 | − | 0.106356i | ||||
\(202\) | −5.67680 | + | 4.91898i | −0.399418 | + | 0.346098i | ||||
\(203\) | 8.69623 | − | 29.6166i | 0.610356 | − | 2.07868i | ||||
\(204\) | 1.20590 | + | 2.64055i | 0.0844298 | + | 0.184875i | ||||
\(205\) | 6.85376 | + | 4.37759i | 0.478688 | + | 0.305744i | ||||
\(206\) | −19.9942 | −1.39306 | ||||||||
\(207\) | −4.42555 | + | 1.84785i | −0.307597 | + | 0.128434i | ||||
\(208\) | − | 3.57185i | − | 0.247663i | ||||||
\(209\) | 0.0156973 | − | 0.109177i | 0.00108581 | − | 0.00755196i | ||||
\(210\) | −0.0286364 | − | 10.2326i | −0.00197610 | − | 0.706119i | ||||
\(211\) | −10.2713 | − | 3.01593i | −0.707106 | − | 0.207625i | −0.0916441 | − | 0.995792i | \(-0.529212\pi\) |
−0.615462 | + | 0.788167i | \(0.711030\pi\) | |||||||
\(212\) | −5.69541 | + | 4.93510i | −0.391162 | + | 0.338944i | ||||
\(213\) | −3.68289 | − | 12.5428i | −0.252347 | − | 0.859415i | ||||
\(214\) | 7.41104 | + | 4.76279i | 0.506608 | + | 0.325577i | ||||
\(215\) | −12.3042 | + | 10.7221i | −0.839140 | + | 0.731240i | ||||
\(216\) | −0.654861 | + | 0.755750i | −0.0445576 | + | 0.0514222i | ||||
\(217\) | −7.43760 | − | 11.5731i | −0.504897 | − | 0.785635i | ||||
\(218\) | 6.90112 | − | 0.992232i | 0.467403 | − | 0.0672024i | ||||
\(219\) | 0.682344 | + | 4.74581i | 0.0461085 | + | 0.320692i | ||||
\(220\) | 0.00481118 | + | 0.0328104i | 0.000324369 | + | 0.00221207i | ||||
\(221\) | −6.79001 | + | 7.83609i | −0.456745 | + | 0.527112i | ||||
\(222\) | −3.03897 | − | 1.38785i | −0.203963 | − | 0.0931466i | ||||
\(223\) | −8.65920 | + | 13.4740i | −0.579863 | + | 0.902285i | −0.999987 | − | 0.00518222i | \(-0.998350\pi\) |
0.420123 | + | 0.907467i | \(0.361987\pi\) | |||||||
\(224\) | 4.39083 | − | 1.28926i | 0.293374 | − | 0.0861425i | ||||
\(225\) | 0.683863 | − | 4.95301i | 0.0455909 | − | 0.330201i | ||||
\(226\) | 19.2538 | + | 5.65342i | 1.28074 | + | 0.376060i | ||||
\(227\) | −21.2364 | + | 9.69834i | −1.40951 | + | 0.643701i | −0.967399 | − | 0.253259i | \(-0.918498\pi\) |
−0.442111 | + | 0.896960i | \(0.645770\pi\) | |||||||
\(228\) | −7.36185 | − | 1.05847i | −0.487551 | − | 0.0700992i | ||||
\(229\) | 9.72610 | 0.642719 | 0.321359 | − | 0.946957i | \(-0.395860\pi\) | ||||
0.321359 | + | 0.946957i | \(0.395860\pi\) | |||||||
\(230\) | 10.1939 | + | 3.32918i | 0.672169 | + | 0.219520i | ||||
\(231\) | 0.0678657 | 0.00446523 | ||||||||
\(232\) | 6.67646 | + | 0.959930i | 0.438331 | + | 0.0630225i | ||||
\(233\) | 4.22035 | − | 1.92737i | 0.276485 | − | 0.126266i | −0.272347 | − | 0.962199i | \(-0.587800\pi\) |
0.548832 | + | 0.835933i | \(0.315073\pi\) | |||||||
\(234\) | −3.42716 | − | 1.00631i | −0.224041 | − | 0.0657843i | ||||
\(235\) | −0.585640 | − | 1.97405i | −0.0382029 | − | 0.128773i | ||||
\(236\) | 8.25472 | − | 2.42380i | 0.537337 | − | 0.157776i | ||||
\(237\) | 8.61449 | − | 13.4044i | 0.559571 | − | 0.870710i | ||||
\(238\) | −12.0837 | − | 5.51843i | −0.783268 | − | 0.357706i | ||||
\(239\) | 15.8634 | − | 18.3073i | 1.02612 | − | 1.18420i | 0.0434049 | − | 0.999058i | \(-0.486179\pi\) |
0.982711 | − | 0.185144i | \(-0.0592751\pi\) | |||||||
\(240\) | 2.21241 | − | 0.324418i | 0.142810 | − | 0.0209411i | ||||
\(241\) | −1.77061 | − | 12.3149i | −0.114055 | − | 0.793271i | −0.963905 | − | 0.266246i | \(-0.914216\pi\) |
0.849850 | − | 0.527025i | \(-0.176693\pi\) | |||||||
\(242\) | 10.8878 | − | 1.56543i | 0.699895 | − | 0.100630i | ||||
\(243\) | 0.540641 | + | 0.841254i | 0.0346821 | + | 0.0539664i | ||||
\(244\) | −4.32241 | + | 4.98833i | −0.276714 | + | 0.319345i | ||||
\(245\) | 20.4807 | + | 23.5027i | 1.30846 | + | 1.50153i | ||||
\(246\) | 3.05961 | + | 1.96629i | 0.195073 | + | 0.125366i | ||||
\(247\) | −7.48445 | − | 25.4897i | −0.476224 | − | 1.62187i | ||||
\(248\) | 2.27194 | − | 1.96865i | 0.144268 | − | 0.125009i | ||||
\(249\) | 13.4816 | + | 3.95857i | 0.854365 | + | 0.250864i | ||||
\(250\) | −8.38777 | + | 7.39225i | −0.530489 | + | 0.467527i | ||||
\(251\) | 0.980076 | − | 6.81658i | 0.0618618 | − | 0.430258i | −0.935229 | − | 0.354042i | \(-0.884807\pi\) |
0.997091 | − | 0.0762163i | \(-0.0242840\pi\) | |||||||
\(252\) | − | 4.57619i | − | 0.288273i | ||||||
\(253\) | −0.0222691 | + | 0.0675467i | −0.00140004 | + | 0.00424663i | ||||
\(254\) | 2.85722 | 0.179278 | ||||||||
\(255\) | −5.47040 | − | 3.49402i | −0.342570 | − | 0.218804i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | 0.217513 | − | 0.740781i | 0.0135681 | − | 0.0462086i | −0.952431 | − | 0.304755i | \(-0.901425\pi\) |
0.965999 | + | 0.258547i | \(0.0832435\pi\) | |||||||
\(258\) | −5.51600 | + | 4.77964i | −0.343411 | + | 0.297568i | ||||
\(259\) | 14.6692 | − | 4.30728i | 0.911502 | − | 0.267641i | ||||
\(260\) | 4.33683 | + | 6.70689i | 0.268959 | + | 0.415944i | ||||
\(261\) | 2.80202 | − | 6.13557i | 0.173441 | − | 0.379782i | ||||
\(262\) | 4.03834 | + | 3.49924i | 0.249489 | + | 0.216184i | ||||
\(263\) | −1.04841 | − | 1.63135i | −0.0646476 | − | 0.100594i | 0.807425 | − | 0.589970i | \(-0.200861\pi\) |
−0.872072 | + | 0.489377i | \(0.837224\pi\) | |||||||
\(264\) | 0.00211055 | + | 0.0146792i | 0.000129895 | + | 0.000903443i | ||||
\(265\) | 4.70227 | − | 16.1819i | 0.288858 | − | 0.994044i | ||||
\(266\) | 28.6326 | − | 18.4011i | 1.75558 | − | 1.12824i | ||||
\(267\) | 7.17571 | + | 6.21779i | 0.439146 | + | 0.380522i | ||||
\(268\) | −4.86843 | − | 2.22334i | −0.297387 | − | 0.135812i | ||||
\(269\) | 4.33368 | + | 2.78509i | 0.264229 | + | 0.169810i | 0.666047 | − | 0.745910i | \(-0.267985\pi\) |
−0.401818 | + | 0.915720i | \(0.631621\pi\) | |||||||
\(270\) | 0.312030 | − | 2.21419i | 0.0189896 | − | 0.134751i | ||||
\(271\) | 5.14236 | + | 5.93460i | 0.312376 | + | 0.360501i | 0.890127 | − | 0.455712i | \(-0.150615\pi\) |
−0.577751 | + | 0.816213i | \(0.696070\pi\) | |||||||
\(272\) | 0.817835 | − | 2.78529i | 0.0495885 | − | 0.168883i | ||||
\(273\) | 14.8684 | − | 6.79015i | 0.899874 | − | 0.410959i | ||||
\(274\) | −0.848851 | + | 5.90389i | −0.0512809 | + | 0.356667i | ||||
\(275\) | −0.0488713 | − | 0.0557668i | −0.00294705 | − | 0.00336286i | ||||
\(276\) | 4.55469 | + | 1.50161i | 0.274160 | + | 0.0903862i | ||||
\(277\) | 0.855020i | 0.0513732i | 0.999670 | + | 0.0256866i | \(0.00817719\pi\) | ||||
−0.999670 | + | 0.0256866i | \(0.991823\pi\) | |||||||
\(278\) | −8.37002 | − | 1.20343i | −0.502000 | − | 0.0721768i | ||||
\(279\) | −1.24883 | − | 2.73455i | −0.0747652 | − | 0.163713i | ||||
\(280\) | −6.67931 | + | 7.75207i | −0.399165 | + | 0.463275i | ||||
\(281\) | −12.6069 | − | 14.5491i | −0.752065 | − | 0.867929i | 0.242702 | − | 0.970101i | \(-0.421966\pi\) |
−0.994767 | + | 0.102172i | \(0.967421\pi\) | |||||||
\(282\) | −0.259434 | − | 0.883553i | −0.0154491 | − | 0.0526148i | ||||
\(283\) | −5.53606 | + | 8.61428i | −0.329085 | + | 0.512066i | −0.965888 | − | 0.258961i | \(-0.916620\pi\) |
0.636803 | + | 0.771026i | \(0.280256\pi\) | |||||||
\(284\) | −5.43042 | + | 11.8910i | −0.322236 | + | 0.705599i | ||||
\(285\) | 15.1086 | − | 6.95103i | 0.894955 | − | 0.411743i | ||||
\(286\) | −0.0445621 | + | 0.0286383i | −0.00263501 | + | 0.00169342i | ||||
\(287\) | −16.4740 | + | 2.36861i | −0.972431 | + | 0.139815i | ||||
\(288\) | 0.989821 | − | 0.142315i | 0.0583258 | − | 0.00838598i | ||||
\(289\) | 7.21233 | − | 4.63508i | 0.424255 | − | 0.272652i | ||||
\(290\) | −13.7020 | + | 6.30388i | −0.804608 | + | 0.370177i | ||||
\(291\) | 2.67033 | − | 5.84721i | 0.156538 | − | 0.342770i | ||||
\(292\) | 2.59216 | − | 4.03348i | 0.151695 | − | 0.236042i | ||||
\(293\) | 4.80460 | + | 16.3630i | 0.280688 | + | 0.955935i | 0.972314 | + | 0.233679i | \(0.0750765\pi\) |
−0.691626 | + | 0.722256i | \(0.743105\pi\) | |||||||
\(294\) | 9.12978 | + | 10.5363i | 0.532459 | + | 0.614491i | ||||
\(295\) | −12.5571 | + | 14.5738i | −0.731100 | + | 0.848521i | ||||
\(296\) | 1.38785 | + | 3.03897i | 0.0806673 | + | 0.176637i | ||||
\(297\) | 0.0146792 | + | 0.00211055i | 0.000851774 | + | 0.000122467i | ||||
\(298\) | 8.26048i | 0.478517i | ||||||||
\(299\) | 1.87942 | + | 17.0266i | 0.108689 | + | 0.984672i | ||||
\(300\) | −3.76036 | + | 3.29540i | −0.217105 | + | 0.190260i | ||||
\(301\) | 4.75337 | − | 33.0604i | 0.273979 | − | 1.90557i | ||||
\(302\) | −0.697888 | + | 0.318715i | −0.0401590 | + | 0.0183400i | ||||
\(303\) | 2.11623 | − | 7.20722i | 0.121574 | − | 0.414044i | ||||
\(304\) | 4.87056 | + | 5.62093i | 0.279346 | + | 0.322382i | ||||
\(305\) | 2.05956 | − | 14.6148i | 0.117930 | − | 0.836839i | ||||
\(306\) | −2.44205 | − | 1.56941i | −0.139603 | − | 0.0897174i | ||||
\(307\) | 26.1517 | + | 11.9431i | 1.49256 | + | 0.681629i | 0.983798 | − | 0.179279i | \(-0.0573765\pi\) |
0.508761 | + | 0.860908i | \(0.330104\pi\) | |||||||
\(308\) | −0.0512895 | − | 0.0444426i | −0.00292249 | − | 0.00253235i | ||||
\(309\) | 16.8202 | − | 10.8097i | 0.956867 | − | 0.614941i | ||||
\(310\) | −1.87577 | + | 6.45507i | −0.106537 | + | 0.366624i | ||||
\(311\) | 0.681277 | + | 4.73839i | 0.0386317 | + | 0.268689i | 0.999978 | − | 0.00665332i | \(-0.00211783\pi\) |
−0.961346 | + | 0.275343i | \(0.911209\pi\) | |||||||
\(312\) | 1.93109 | + | 3.00483i | 0.109326 | + | 0.170115i | ||||
\(313\) | 14.6429 | + | 12.6882i | 0.827668 | + | 0.717178i | 0.961791 | − | 0.273786i | \(-0.0882761\pi\) |
−0.134123 | + | 0.990965i | \(0.542822\pi\) | |||||||
\(314\) | 8.14356 | − | 17.8319i | 0.459567 | − | 1.00631i | ||||
\(315\) | 5.55627 | + | 8.59276i | 0.313061 | + | 0.484147i | ||||
\(316\) | −15.2884 | + | 4.48909i | −0.860041 | + | 0.252531i | ||||
\(317\) | −5.01542 | + | 4.34588i | −0.281694 | + | 0.244089i | −0.784235 | − | 0.620464i | \(-0.786944\pi\) |
0.502541 | + | 0.864554i | \(0.332399\pi\) | |||||||
\(318\) | 2.12317 | − | 7.23084i | 0.119061 | − | 0.405485i | ||||
\(319\) | −0.0415544 | − | 0.0909915i | −0.00232660 | − | 0.00509455i | ||||
\(320\) | −1.88448 | − | 1.20364i | −0.105345 | − | 0.0672856i | ||||
\(321\) | −8.80952 | −0.491699 | ||||||||
\(322\) | −20.2522 | + | 8.45610i | −1.12861 | + | 0.471240i | ||||
\(323\) | − | 21.5903i | − | 1.20132i | ||||||
\(324\) | 0.142315 | − | 0.989821i | 0.00790638 | − | 0.0549901i | ||||
\(325\) | −16.2866 | − | 7.32795i | −0.903418 | − | 0.406482i | ||||
\(326\) | 10.3544 | + | 3.04033i | 0.573479 | + | 0.168388i | ||||
\(327\) | −5.26915 | + | 4.56575i | −0.291385 | + | 0.252486i | ||||
\(328\) | −1.02465 | − | 3.48964i | −0.0565768 | − | 0.192683i | ||||
\(329\) | 3.54505 | + | 2.27826i | 0.195445 | + | 0.125605i | ||||
\(330\) | −0.0217860 | − | 0.0250007i | −0.00119928 | − | 0.00137624i | ||||
\(331\) | −6.49261 | + | 7.49288i | −0.356866 | + | 0.411846i | −0.905587 | − | 0.424160i | \(-0.860569\pi\) |
0.548721 | + | 0.836006i | \(0.315115\pi\) | |||||||
\(332\) | −7.59644 | − | 11.8203i | −0.416909 | − | 0.648723i | ||||
\(333\) | 3.30688 | − | 0.475457i | 0.181216 | − | 0.0260549i | ||||
\(334\) | 1.86710 | + | 12.9859i | 0.102163 | + | 0.710559i | ||||
\(335\) | 11.8410 | − | 1.73632i | 0.646943 | − | 0.0948651i | ||||
\(336\) | −2.99677 | + | 3.45846i | −0.163487 | + | 0.188674i | ||||
\(337\) | −4.22162 | − | 1.92795i | −0.229966 | − | 0.105022i | 0.297100 | − | 0.954846i | \(-0.403981\pi\) |
−0.527066 | + | 0.849824i | \(0.676708\pi\) | |||||||
\(338\) | 0.130786 | − | 0.203506i | 0.00711380 | − | 0.0110693i | ||||
\(339\) | −19.2538 | + | 5.65342i | −1.04572 | + | 0.307052i | ||||
\(340\) | 1.84616 | + | 6.22295i | 0.100122 | + | 0.337487i | ||||
\(341\) | −0.0427767 | − | 0.0125604i | −0.00231649 | − | 0.000680182i | ||||
\(342\) | 6.76544 | − | 3.08967i | 0.365833 | − | 0.167070i | ||||
\(343\) | −31.4426 | − | 4.52076i | −1.69774 | − | 0.244098i | ||||
\(344\) | 7.29872 | 0.393521 | ||||||||
\(345\) | −10.3756 | + | 2.71058i | −0.558603 | + | 0.145933i | ||||
\(346\) | 12.4502 | 0.669325 | ||||||||
\(347\) | 2.53653 | + | 0.364698i | 0.136168 | + | 0.0195780i | 0.210062 | − | 0.977688i | \(-0.432633\pi\) |
−0.0738937 | + | 0.997266i | \(0.523543\pi\) | |||||||
\(348\) | −6.13557 | + | 2.80202i | −0.328901 | + | 0.150204i | ||||
\(349\) | −11.4008 | − | 3.34757i | −0.610269 | − | 0.179191i | −0.0380281 | − | 0.999277i | \(-0.512108\pi\) |
−0.572241 | + | 0.820085i | \(0.693926\pi\) | |||||||
\(350\) | 3.12949 | − | 22.6659i | 0.167278 | − | 1.21155i | ||||
\(351\) | 3.42716 | − | 1.00631i | 0.182928 | − | 0.0537126i | ||||
\(352\) | 0.00801779 | − | 0.0124759i | 0.000427349 | − | 0.000664969i | ||||
\(353\) | −7.73691 | − | 3.53333i | −0.411794 | − | 0.188060i | 0.198736 | − | 0.980053i | \(-0.436316\pi\) |
−0.610530 | + | 0.791993i | \(0.709044\pi\) | |||||||
\(354\) | −5.63391 | + | 6.50187i | −0.299439 | + | 0.345571i | ||||
\(355\) | −4.24089 | − | 28.9212i | −0.225083 | − | 1.53498i | ||||
\(356\) | −1.35125 | − | 9.39818i | −0.0716163 | − | 0.498102i | ||||
\(357\) | 13.1489 | − | 1.89053i | 0.695914 | − | 0.100057i | ||||
\(358\) | −6.07536 | − | 9.45344i | −0.321093 | − | 0.499630i | ||||
\(359\) | 3.36968 | − | 3.88882i | 0.177845 | − | 0.205244i | −0.659827 | − | 0.751417i | \(-0.729371\pi\) |
0.837672 | + | 0.546173i | \(0.183916\pi\) | |||||||
\(360\) | −1.68580 | + | 1.46904i | −0.0888496 | + | 0.0774250i | ||||
\(361\) | 30.5520 | + | 19.6346i | 1.60800 | + | 1.03340i | ||||
\(362\) | 4.16955 | + | 14.2002i | 0.219147 | + | 0.746346i | ||||
\(363\) | −8.31308 | + | 7.20332i | −0.436323 | + | 0.378076i | ||||
\(364\) | −15.6834 | − | 4.60505i | −0.822031 | − | 0.241370i | ||||
\(365\) | 0.0300032 | + | 10.7210i | 0.00157044 | + | 0.561164i | ||||
\(366\) | 0.939350 | − | 6.53332i | 0.0491006 | − | 0.341502i | ||||
\(367\) | − | 25.1961i | − | 1.31523i | −0.753355 | − | 0.657614i | \(-0.771566\pi\) | ||
0.753355 | − | 0.657614i | \(-0.228434\pi\) | |||||||
\(368\) | −2.45886 | − | 4.11753i | −0.128177 | − | 0.214641i | ||||
\(369\) | −3.63696 | −0.189333 | ||||||||
\(370\) | −6.29581 | − | 4.02122i | −0.327304 | − | 0.209053i | ||||
\(371\) | 14.3263 | + | 31.3702i | 0.743783 | + | 1.62866i | ||||
\(372\) | −0.846947 | + | 2.88444i | −0.0439122 | + | 0.149551i | ||||
\(373\) | −13.3694 | + | 11.5847i | −0.692242 | + | 0.599831i | −0.928266 | − | 0.371916i | \(-0.878701\pi\) |
0.236025 | + | 0.971747i | \(0.424155\pi\) | |||||||
\(374\) | −0.0413063 | + | 0.0121286i | −0.00213590 | + | 0.000627156i | ||||
\(375\) | 3.05969 | − | 10.7535i | 0.158002 | − | 0.555310i | ||||
\(376\) | −0.382536 | + | 0.837638i | −0.0197278 | + | 0.0431979i | ||||
\(377\) | −18.2079 | − | 15.7772i | −0.937755 | − | 0.812570i | ||||
\(378\) | 2.47408 | + | 3.84974i | 0.127253 | + | 0.198009i | ||||
\(379\) | 4.48220 | + | 31.1744i | 0.230235 | + | 1.60132i | 0.697087 | + | 0.716987i | \(0.254479\pi\) |
−0.466852 | + | 0.884336i | \(0.654612\pi\) | |||||||
\(380\) | −15.9703 | − | 4.64078i | −0.819257 | − | 0.238067i | ||||
\(381\) | −2.40364 | + | 1.54473i | −0.123142 | + | 0.0791388i | ||||
\(382\) | −2.12707 | − | 1.84312i | −0.108830 | − | 0.0943020i | ||||
\(383\) | 31.8123 | + | 14.5282i | 1.62553 | + | 0.742355i | 0.999305 | − | 0.0372863i | \(-0.0118714\pi\) |
0.626226 | + | 0.779641i | \(0.284599\pi\) | |||||||
\(384\) | −0.841254 | − | 0.540641i | −0.0429300 | − | 0.0275895i | ||||
\(385\) | 0.150267 | + | 0.0211762i | 0.00765834 | + | 0.00107924i | ||||
\(386\) | 13.8550 | + | 15.9895i | 0.705200 | + | 0.813844i | ||||
\(387\) | 2.05629 | − | 7.00307i | 0.104527 | − | 0.355986i | ||||
\(388\) | −5.84721 | + | 2.67033i | −0.296847 | + | 0.135566i | ||||
\(389\) | 3.46164 | − | 24.0762i | 0.175512 | − | 1.22071i | −0.691482 | − | 0.722394i | \(-0.743042\pi\) |
0.866994 | − | 0.498319i | \(-0.166049\pi\) | |||||||
\(390\) | −7.27439 | − | 3.29753i | −0.368353 | − | 0.166977i | ||||
\(391\) | −2.43297 | + | 13.7075i | −0.123041 | + | 0.693216i | ||||
\(392\) | − | 13.9416i | − | 0.704155i | ||||||
\(393\) | −5.28910 | − | 0.760458i | −0.266800 | − | 0.0383600i | ||||
\(394\) | 9.62492 | + | 21.0756i | 0.484897 | + | 1.06178i | ||||
\(395\) | 23.2567 | − | 26.9919i | 1.17017 | − | 1.35811i | ||||
\(396\) | −0.00971169 | − | 0.0112079i | −0.000488031 | − | 0.000563217i | ||||
\(397\) | 2.93854 | + | 10.0077i | 0.147481 | + | 0.502274i | 0.999784 | − | 0.0207739i | \(-0.00661300\pi\) |
−0.852303 | + | 0.523048i | \(0.824795\pi\) | |||||||
\(398\) | −9.91833 | + | 15.4332i | −0.497161 | + | 0.773597i | ||||
\(399\) | −14.1389 | + | 30.9600i | −0.707832 | + | 1.54994i | ||||
\(400\) | 4.99992 | − | 0.0279851i | 0.249996 | − | 0.00139926i | ||||
\(401\) | −6.69952 | + | 4.30552i | −0.334558 | + | 0.215007i | −0.697124 | − | 0.716951i | \(-0.745537\pi\) |
0.362566 | + | 0.931958i | \(0.381901\pi\) | |||||||
\(402\) | 5.29761 | − | 0.761682i | 0.264221 | − | 0.0379892i | ||||
\(403\) | −10.6284 | + | 1.52814i | −0.529440 | + | 0.0761220i | ||||
\(404\) | −6.31906 | + | 4.06101i | −0.314385 | + | 0.202043i | ||||
\(405\) | 0.934585 | + | 2.03139i | 0.0464399 | + | 0.100941i | ||||
\(406\) | 12.8226 | − | 28.0776i | 0.636375 | − | 1.39347i | ||||
\(407\) | 0.0267865 | − | 0.0416806i | 0.00132776 | − | 0.00206603i | ||||
\(408\) | 0.817835 | + | 2.78529i | 0.0404889 | + | 0.137892i | ||||
\(409\) | −7.84771 | − | 9.05674i | −0.388044 | − | 0.447827i | 0.527795 | − | 0.849372i | \(-0.323019\pi\) |
−0.915839 | + | 0.401545i | \(0.868473\pi\) | |||||||
\(410\) | 6.16101 | + | 5.30843i | 0.304270 | + | 0.262165i | ||||
\(411\) | −2.47778 | − | 5.42559i | −0.122220 | − | 0.267624i | ||||
\(412\) | −19.7907 | − | 2.84547i | −0.975017 | − | 0.140186i | ||||
\(413\) | − | 39.3700i | − | 1.93727i | ||||||
\(414\) | −4.64348 | + | 1.19922i | −0.228214 | + | 0.0589383i | ||||
\(415\) | 28.6157 | + | 12.9717i | 1.40469 | + | 0.636756i | ||||
\(416\) | 0.508327 | − | 3.53549i | 0.0249228 | − | 0.173342i | ||||
\(417\) | 7.69193 | − | 3.51279i | 0.376675 | − | 0.172022i | ||||
\(418\) | 0.0310751 | − | 0.105832i | 0.00151993 | − | 0.00517642i | ||||
\(419\) | −20.9279 | − | 24.1521i | −1.02240 | − | 1.17991i | −0.983545 | − | 0.180664i | \(-0.942175\pi\) |
−0.0388521 | − | 0.999245i | \(-0.512370\pi\) | |||||||
\(420\) | 1.42791 | − | 10.1326i | 0.0696750 | − | 0.494418i | ||||
\(421\) | 25.0834 | + | 16.1201i | 1.22249 | + | 0.785646i | 0.982705 | − | 0.185181i | \(-0.0592870\pi\) |
0.239784 | + | 0.970826i | \(0.422923\pi\) | |||||||
\(422\) | −9.73755 | − | 4.44699i | −0.474016 | − | 0.216476i | ||||
\(423\) | 0.695935 | + | 0.603031i | 0.0338375 | + | 0.0293204i | ||||
\(424\) | −6.33977 | + | 4.07432i | −0.307887 | + | 0.197867i | ||||
\(425\) | −11.0223 | − | 9.44335i | −0.534658 | − | 0.458070i | ||||
\(426\) | −1.86038 | − | 12.9392i | −0.0901356 | − | 0.626907i | ||||
\(427\) | 16.3302 | + | 25.4102i | 0.790272 | + | 1.22969i | ||||
\(428\) | 6.65779 | + | 5.76901i | 0.321816 | + | 0.278856i | ||||
\(429\) | 0.0220050 | − | 0.0481842i | 0.00106241 | − | 0.00232635i | ||||
\(430\) | −13.7049 | + | 8.86188i | −0.660908 | + | 0.427358i | ||||
\(431\) | 6.31202 | − | 1.85338i | 0.304040 | − | 0.0892741i | −0.126154 | − | 0.992011i | \(-0.540263\pi\) |
0.430194 | + | 0.902737i | \(0.358445\pi\) | |||||||
\(432\) | −0.755750 | + | 0.654861i | −0.0363610 | + | 0.0315070i | ||||
\(433\) | 0.0310993 | − | 0.105915i | 0.00149454 | − | 0.00508993i | −0.958742 | − | 0.284277i | \(-0.908247\pi\) |
0.960237 | + | 0.279187i | \(0.0900648\pi\) | |||||||
\(434\) | −5.71487 | − | 12.5138i | −0.274322 | − | 0.600682i | ||||
\(435\) | 8.11870 | − | 12.7110i | 0.389262 | − | 0.609446i | ||||
\(436\) | 6.97209 | 0.333903 | ||||||||
\(437\) | −26.1750 | − | 24.2315i | −1.25212 | − | 1.15915i | ||||
\(438\) | 4.79461i | 0.229095i | ||||||||
\(439\) | 0.254332 | − | 1.76892i | 0.0121386 | − | 0.0844258i | −0.982852 | − | 0.184398i | \(-0.940966\pi\) |
0.994990 | + | 0.0999725i | \(0.0318755\pi\) | |||||||
\(440\) | 9.28025e−5 | 0.0331611i | 4.42418e−6 | 0.00158089i | ||||||
\(441\) | −13.3768 | − | 3.92779i | −0.636992 | − | 0.187038i | ||||
\(442\) | −7.83609 | + | 6.79001i | −0.372725 | + | 0.322968i | ||||
\(443\) | 6.99475 | + | 23.8219i | 0.332331 | + | 1.13181i | 0.941005 | + | 0.338394i | \(0.109884\pi\) |
−0.608674 | + | 0.793421i | \(0.708298\pi\) | |||||||
\(444\) | −2.81053 | − | 1.80622i | −0.133382 | − | 0.0857193i | ||||
\(445\) | 13.9482 | + | 16.0064i | 0.661210 | + | 0.758776i | ||||
\(446\) | −10.4886 | + | 12.1045i | −0.496650 | + | 0.573165i | ||||
\(447\) | −4.46595 | − | 6.94916i | −0.211232 | − | 0.328684i | ||||
\(448\) | 4.52962 | − | 0.651260i | 0.214004 | − | 0.0307692i | ||||
\(449\) | −3.39760 | − | 23.6308i | −0.160343 | − | 1.11521i | −0.897988 | − | 0.440020i | \(-0.854971\pi\) |
0.737645 | − | 0.675188i | \(-0.235938\pi\) | |||||||
\(450\) | 1.38179 | − | 4.80527i | 0.0651382 | − | 0.226523i | ||||
\(451\) | −0.0353210 | + | 0.0407626i | −0.00166320 | + | 0.00191944i | ||||
\(452\) | 18.2532 | + | 8.33598i | 0.858560 | + | 0.392091i | ||||
\(453\) | 0.414791 | − | 0.645427i | 0.0194886 | − | 0.0303248i | ||||
\(454\) | −22.4005 | + | 6.57737i | −1.05131 | + | 0.308691i | ||||
\(455\) | 35.0401 | − | 10.3953i | 1.64271 | − | 0.487339i | ||||
\(456\) | −7.13628 | − | 2.09540i | −0.334187 | − | 0.0981262i | ||||
\(457\) | −5.85944 | + | 2.67591i | −0.274093 | + | 0.125174i | −0.547720 | − | 0.836662i | \(-0.684504\pi\) |
0.273627 | + | 0.961836i | \(0.411777\pi\) | |||||||
\(458\) | 9.62710 | + | 1.38417i | 0.449845 | + | 0.0646780i | ||||
\(459\) | 2.90288 | 0.135495 | ||||||||
\(460\) | 9.61640 | + | 4.74605i | 0.448367 | + | 0.221286i | ||||
\(461\) | −10.1128 | −0.470998 | −0.235499 | − | 0.971875i | \(-0.575672\pi\) | ||||
−0.235499 | + | 0.971875i | \(0.575672\pi\) | |||||||
\(462\) | 0.0671749 | + | 0.00965829i | 0.00312526 | + | 0.000449344i | ||||
\(463\) | −9.79466 | + | 4.47307i | −0.455196 | + | 0.207881i | −0.629800 | − | 0.776758i | \(-0.716863\pi\) |
0.174603 | + | 0.984639i | \(0.444136\pi\) | |||||||
\(464\) | 6.47189 | + | 1.90032i | 0.300450 | + | 0.0882201i | ||||
\(465\) | −1.91187 | − | 6.44447i | −0.0886611 | − | 0.298855i | ||||
\(466\) | 4.45169 | − | 1.30713i | 0.206221 | − | 0.0605518i | ||||
\(467\) | 17.5752 | − | 27.3475i | 0.813283 | − | 1.26549i | −0.147741 | − | 0.989026i | \(-0.547200\pi\) |
0.961023 | − | 0.276467i | \(-0.0891635\pi\) | |||||||
\(468\) | −3.24907 | − | 1.48380i | −0.150188 | − | 0.0685886i | ||||
\(469\) | −16.0390 | + | 18.5100i | −0.740611 | + | 0.854711i | ||||
\(470\) | −0.298742 | − | 2.03730i | −0.0137799 | − | 0.0939739i | ||||
\(471\) | 2.78986 | + | 19.4039i | 0.128550 | + | 0.894084i | ||||
\(472\) | 8.51564 | − | 1.22436i | 0.391964 | − | 0.0563560i | ||||
\(473\) | −0.0585196 | − | 0.0910582i | −0.00269073 | − | 0.00418686i | ||||
\(474\) | 10.4345 | − | 12.0420i | 0.479270 | − | 0.553108i | ||||
\(475\) | 35.6222 | − | 10.6766i | 1.63446 | − | 0.489874i | ||||
\(476\) | −11.1753 | − | 7.18194i | −0.512220 | − | 0.329184i | ||||
\(477\) | 2.12317 | + | 7.23084i | 0.0972130 | + | 0.331077i | ||||
\(478\) | 18.3073 | − | 15.8634i | 0.837357 | − | 0.725574i | ||||
\(479\) | 12.4206 | + | 3.64701i | 0.567511 | + | 0.166636i | 0.552886 | − | 0.833257i | \(-0.313526\pi\) |
0.0146250 | + | 0.999893i | \(0.495345\pi\) | |||||||
\(480\) | 2.23606 | − | 0.00625769i | 0.102062 | − | 0.000285623i | ||||
\(481\) | 1.69826 | − | 11.8117i | 0.0774340 | − | 0.538565i | ||||
\(482\) | − | 12.4415i | − | 0.566696i | ||||||
\(483\) | 12.4655 | − | 18.0629i | 0.567199 | − | 0.821889i | ||||
\(484\) | 10.9998 | 0.499990 | ||||||||
\(485\) | 7.73713 | − | 12.1136i | 0.351325 | − | 0.550051i | ||||
\(486\) | 0.415415 | + | 0.909632i | 0.0188436 | + | 0.0412617i | ||||
\(487\) | 2.69127 | − | 9.16562i | 0.121953 | − | 0.415334i | −0.875774 | − | 0.482722i | \(-0.839648\pi\) |
0.997727 | + | 0.0673877i | \(0.0214664\pi\) | |||||||
\(488\) | −4.98833 | + | 4.32241i | −0.225811 | + | 0.195666i | ||||
\(489\) | −10.3544 | + | 3.04033i | −0.468243 | + | 0.137489i | ||||
\(490\) | 16.9274 | + | 26.1782i | 0.764702 | + | 1.18261i | ||||
\(491\) | −5.76985 | + | 12.6342i | −0.260390 | + | 0.570174i | −0.993998 | − | 0.109399i | \(-0.965107\pi\) |
0.733608 | + | 0.679573i | \(0.237835\pi\) | |||||||
\(492\) | 2.74863 | + | 2.38170i | 0.123918 | + | 0.107375i | ||||
\(493\) | −10.5859 | − | 16.4719i | −0.476764 | − | 0.741859i | ||||
\(494\) | −3.78071 | − | 26.2954i | −0.170102 | − | 1.18309i | ||||
\(495\) | 0.0318440 | + | 0.00925352i | 0.00143128 | + | 0.000415915i | ||||
\(496\) | 2.52899 | − | 1.62528i | 0.113555 | − | 0.0729772i | ||||
\(497\) | 45.2099 | + | 39.1746i | 2.02794 | + | 1.75722i | ||||
\(498\) | 12.7811 | + | 5.83692i | 0.572733 | + | 0.261558i | ||||
\(499\) | 23.7810 | + | 15.2831i | 1.06458 | + | 0.684167i | 0.950947 | − | 0.309355i | \(-0.100113\pi\) |
0.113638 | + | 0.993522i | \(0.463750\pi\) | |||||||
\(500\) | −9.35442 | + | 6.12330i | −0.418342 | + | 0.273842i | ||||
\(501\) | −8.59143 | − | 9.91504i | −0.383837 | − | 0.442971i | ||||
\(502\) | 1.94020 | − | 6.60771i | 0.0865954 | − | 0.294917i | ||||
\(503\) | −9.64950 | + | 4.40678i | −0.430250 | + | 0.196489i | −0.618756 | − | 0.785584i | \(-0.712363\pi\) |
0.188506 | + | 0.982072i | \(0.439636\pi\) | |||||||
\(504\) | 0.651260 | − | 4.52962i | 0.0290094 | − | 0.201765i | ||||
\(505\) | 6.93460 | − | 15.2978i | 0.308586 | − | 0.680744i | ||||
\(506\) | −0.0316553 | + | 0.0636900i | −0.00140725 | + | 0.00283136i | ||||
\(507\) | 0.241908i | 0.0107435i | ||||||||
\(508\) | 2.82813 | + | 0.406624i | 0.125478 | + | 0.0180410i | ||||
\(509\) | −13.2120 | − | 28.9303i | −0.585613 | − | 1.28231i | −0.938057 | − | 0.346481i | \(-0.887376\pi\) |
0.352444 | − | 0.935833i | \(-0.385351\pi\) | |||||||
\(510\) | −4.91747 | − | 4.23697i | −0.217749 | − | 0.187616i | ||||
\(511\) | −14.3683 | − | 16.5820i | −0.635618 | − | 0.733542i | ||||
\(512\) | 0.281733 | + | 0.959493i | 0.0124509 | + | 0.0424040i | ||||
\(513\) | −4.02105 | + | 6.25687i | −0.177534 | + | 0.276248i | ||||
\(514\) | 0.320723 | − | 0.702285i | 0.0141465 | − | 0.0309765i | ||||
\(515\) | 40.6160 | − | 18.6863i | 1.78976 | − | 0.823415i | ||||
\(516\) | −6.14007 | + | 3.94599i | −0.270302 | + | 0.173712i | ||||
\(517\) | 0.0135174 | − | 0.00194351i | 0.000594495 | − | 8.54754e-5i | ||||
\(518\) | 15.1329 | − | 2.17578i | 0.664902 | − | 0.0955985i | ||||
\(519\) | −10.4737 | + | 6.73106i | −0.459746 | + | 0.295461i | ||||
\(520\) | 3.33819 | + | 7.25582i | 0.146389 | + | 0.318189i | ||||
\(521\) | 4.17760 | − | 9.14766i | 0.183024 | − | 0.400766i | −0.795774 | − | 0.605593i | \(-0.792936\pi\) |
0.978798 | + | 0.204827i | \(0.0656631\pi\) | |||||||
\(522\) | 3.64669 | − | 5.67435i | 0.159611 | − | 0.248360i | ||||
\(523\) | 3.99855 | + | 13.6178i | 0.174844 | + | 0.595465i | 0.999553 | + | 0.0299067i | \(0.00952102\pi\) |
−0.824708 | + | 0.565558i | \(0.808661\pi\) | |||||||
\(524\) | 3.49924 | + | 4.03834i | 0.152865 | + | 0.176416i | ||||
\(525\) | 9.62144 | + | 20.7597i | 0.419914 | + | 0.906029i | ||||
\(526\) | −0.805570 | − | 1.76395i | −0.0351245 | − | 0.0769120i | ||||
\(527\) | −8.63783 | − | 1.24193i | −0.376270 | − | 0.0540994i | ||||
\(528\) | 0.0148302i | 0.000645400i | ||||||||
\(529\) | 13.8876 | + | 18.3340i | 0.603810 | + | 0.797128i | ||||
\(530\) | 6.95733 | − | 15.3480i | 0.302207 | − | 0.666672i | ||||
\(531\) | 1.22436 | − | 8.51564i | 0.0531329 | − | 0.369547i | ||||
\(532\) | 30.9600 | − | 14.1389i | 1.34228 | − | 0.613001i | ||||
\(533\) | −3.65989 | + | 12.4645i | −0.158528 | + | 0.539895i | ||||
\(534\) | 6.21779 | + | 7.17571i | 0.269070 | + | 0.310523i | ||||
\(535\) | −19.5059 | − | 2.74884i | −0.843316 | − | 0.118843i | ||||
\(536\) | −4.50246 | − | 2.89356i | −0.194477 | − | 0.124983i | ||||
\(537\) | 10.2218 | + | 4.66815i | 0.441105 | + | 0.201446i | ||||
\(538\) | 3.89321 | + | 3.37349i | 0.167848 | + | 0.145441i | ||||
\(539\) | −0.173934 | + | 0.111780i | −0.00749186 | + | 0.00481472i | ||||
\(540\) | 0.623966 | − | 2.14725i | 0.0268512 | − | 0.0924028i | ||||
\(541\) | −0.943040 | − | 6.55899i | −0.0405445 | − | 0.281993i | −1.00000 | 0.000132901i | \(-0.999958\pi\) | |
0.959456 | − | 0.281860i | \(-0.0909514\pi\) | |||||||
\(542\) | 4.24544 | + | 6.60603i | 0.182357 | + | 0.283753i | ||||
\(543\) | −11.1849 | − | 9.69173i | −0.479988 | − | 0.415912i | ||||
\(544\) | 1.20590 | − | 2.64055i | 0.0517025 | − | 0.113213i | ||||
\(545\) | −13.0916 | + | 8.46530i | −0.560781 | + | 0.362613i | ||||
\(546\) | 15.6834 | − | 4.60505i | 0.671186 | − | 0.197078i | ||||
\(547\) | −19.6822 | + | 17.0547i | −0.841550 | + | 0.729207i | −0.964748 | − | 0.263175i | \(-0.915230\pi\) |
0.123198 | + | 0.992382i | \(0.460685\pi\) | |||||||
\(548\) | −1.68042 | + | 5.72299i | −0.0717840 | + | 0.244474i | ||||
\(549\) | 2.74195 | + | 6.00403i | 0.117024 | + | 0.256246i | ||||
\(550\) | −0.0404374 | − | 0.0621542i | −0.00172426 | − | 0.00265027i | ||||
\(551\) | 50.1672 | 2.13719 | ||||||||
\(552\) | 4.29463 | + | 2.13452i | 0.182791 | + | 0.0908513i | ||||
\(553\) | 72.9164i | 3.10072i | ||||||||
\(554\) | −0.121682 | + | 0.846317i | −0.00516977 | + | 0.0359566i | ||||
\(555\) | 7.47041 | − | 0.0209062i | 0.317101 | − | 0.000887419i | ||||
\(556\) | −8.11356 | − | 2.38236i | −0.344092 | − | 0.101034i | ||||
\(557\) | −8.62103 | + | 7.47017i | −0.365285 | + | 0.316521i | −0.818092 | − | 0.575087i | \(-0.804968\pi\) |
0.452807 | + | 0.891609i | \(0.350423\pi\) | |||||||
\(558\) | −0.846947 | − | 2.88444i | −0.0358541 | − | 0.122108i | ||||
\(559\) | −21.9314 | − | 14.0945i | −0.927599 | − | 0.596132i | ||||
\(560\) | −7.71456 | + | 6.72260i | −0.326000 | + | 0.284082i | ||||
\(561\) | 0.0281918 | − | 0.0325351i | 0.00119026 | − | 0.00137363i | ||||
\(562\) | −10.4080 | − | 16.1952i | −0.439036 | − | 0.683153i | ||||
\(563\) | −22.9603 | + | 3.30119i | −0.967662 | + | 0.139129i | −0.607985 | − | 0.793948i | \(-0.708022\pi\) |
−0.359677 | + | 0.933077i | \(0.617113\pi\) | |||||||
\(564\) | −0.131051 | − | 0.911481i | −0.00551825 | − | 0.0383803i | ||||
\(565\) | −44.3956 | + | 6.50998i | −1.86774 | + | 0.273877i | ||||
\(566\) | −6.70565 | + | 7.73873i | −0.281860 | + | 0.325283i | ||||
\(567\) | −4.16265 | − | 1.90102i | −0.174815 | − | 0.0798353i | ||||
\(568\) | −7.06740 | + | 10.9971i | −0.296542 | + | 0.461428i | ||||
\(569\) | −21.0427 | + | 6.17871i | −0.882158 | + | 0.259025i | −0.691278 | − | 0.722589i | \(-0.742952\pi\) |
−0.190879 | + | 0.981614i | \(0.561134\pi\) | |||||||
\(570\) | 15.9440 | − | 4.73010i | 0.667822 | − | 0.198122i | ||||
\(571\) | −21.7226 | − | 6.37833i | −0.909062 | − | 0.266925i | −0.206416 | − | 0.978464i | \(-0.566180\pi\) |
−0.702646 | + | 0.711539i | \(0.747998\pi\) | |||||||
\(572\) | −0.0481842 | + | 0.0220050i | −0.00201468 | + | 0.000920074i | ||||
\(573\) | 2.78587 | + | 0.400547i | 0.116381 | + | 0.0167331i | ||||
\(574\) | −16.6434 | −0.694684 | ||||||||
\(575\) | −23.8193 | + | 2.76424i | −0.993333 | + | 0.115277i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 7.34368 | + | 1.05586i | 0.305721 | + | 0.0439561i | 0.293468 | − | 0.955969i | \(-0.405191\pi\) |
0.0122531 | + | 0.999925i | \(0.496100\pi\) | |||||||
\(578\) | 7.79856 | − | 3.56148i | 0.324377 | − | 0.148138i | ||||
\(579\) | −20.3001 | − | 5.96066i | −0.843645 | − | 0.247716i | ||||
\(580\) | −14.4596 | + | 4.28972i | −0.600404 | + | 0.178121i | ||||
\(581\) | −61.6946 | + | 18.1152i | −2.55953 | + | 0.751544i | ||||
\(582\) | 3.47530 | − | 5.40767i | 0.144056 | − | 0.224155i | ||||
\(583\) | 0.101662 | + | 0.0464274i | 0.00421040 | + | 0.00192283i | ||||
\(584\) | 3.13980 | − | 3.62352i | 0.129926 | − | 0.149942i | ||||
\(585\) | 7.90239 | − | 1.15877i | 0.326723 | − | 0.0479094i | ||||
\(586\) | 2.42700 | + | 16.8802i | 0.100259 | + | 0.697314i | ||||
\(587\) | 7.58031 | − | 1.08988i | 0.312873 | − | 0.0449843i | 0.0159101 | − | 0.999873i | \(-0.494935\pi\) |
0.296963 | + | 0.954889i | \(0.404026\pi\) | |||||||
\(588\) | 7.53737 | + | 11.7284i | 0.310836 | + | 0.483670i | ||||
\(589\) | 14.6419 | − | 16.8977i | 0.603310 | − | 0.696257i | ||||
\(590\) | −14.5033 | + | 12.6384i | −0.597092 | + | 0.520316i | ||||
\(591\) | −19.4914 | − | 12.5263i | −0.801767 | − | 0.515264i | ||||
\(592\) | 0.941236 | + | 3.20555i | 0.0386845 | + | 0.131747i | ||||
\(593\) | 24.3459 | − | 21.0959i | 0.999768 | − | 0.866304i | 0.00874074 | − | 0.999962i | \(-0.497218\pi\) |
0.991028 | + | 0.133658i | \(0.0426722\pi\) | |||||||
\(594\) | 0.0142294 | + | 0.00417814i | 0.000583841 | + | 0.000171431i | ||||
\(595\) | 29.7041 | − | 0.0831279i | 1.21775 | − | 0.00340791i | ||||
\(596\) | −1.17559 | + | 8.17640i | −0.0481540 | + | 0.334919i | ||||
\(597\) | − | 18.3455i | − | 0.750831i | ||||||
\(598\) | −0.562845 | + | 17.1207i | −0.0230165 | + | 0.700119i | ||||
\(599\) | −8.02915 | −0.328062 | −0.164031 | − | 0.986455i | \(-0.552450\pi\) | ||||
−0.164031 | + | 0.986455i | \(0.552450\pi\) | |||||||
\(600\) | −4.19107 | + | 2.72670i | −0.171100 | + | 0.111317i | ||||
\(601\) | −12.0305 | − | 26.3431i | −0.490734 | − | 1.07456i | −0.979371 | − | 0.202070i | \(-0.935233\pi\) |
0.488637 | − | 0.872487i | \(-0.337494\pi\) | |||||||
\(602\) | 9.40997 | − | 32.0474i | 0.383522 | − | 1.30615i | ||||
\(603\) | −4.04484 | + | 3.50487i | −0.164719 | + | 0.142729i | ||||
\(604\) | −0.736143 | + | 0.216151i | −0.0299532 | + | 0.00879506i | ||||
\(605\) | −20.6544 | + | 13.3556i | −0.839720 | + | 0.542982i | ||||
\(606\) | 3.12038 | − | 6.83269i | 0.126757 | − | 0.277559i | ||||
\(607\) | −31.6462 | − | 27.4216i | −1.28448 | − | 1.11301i | −0.987415 | − | 0.158150i | \(-0.949447\pi\) |
−0.297064 | − | 0.954858i | \(-0.596007\pi\) | |||||||
\(608\) | 4.02105 | + | 6.25687i | 0.163075 | + | 0.253750i | ||||
\(609\) | 4.39283 | + | 30.5528i | 0.178006 | + | 1.23806i | ||||
\(610\) | 4.11849 | − | 14.1729i | 0.166753 | − | 0.573844i | ||||
\(611\) | 2.76701 | − | 1.77825i | 0.111941 | − | 0.0719402i | ||||
\(612\) | −2.19385 | − | 1.90098i | −0.0886810 | − | 0.0768425i | ||||
\(613\) | −36.4567 | − | 16.6492i | −1.47247 | − | 0.672455i | −0.492266 | − | 0.870445i | \(-0.663831\pi\) |
−0.980204 | + | 0.197990i | \(0.936559\pi\) | |||||||
\(614\) | 24.1859 | + | 15.5433i | 0.976063 | + | 0.627277i | ||||
\(615\) | −8.05292 | − | 1.13484i | −0.324725 | − | 0.0457613i | ||||
\(616\) | −0.0444426 | − | 0.0512895i | −0.00179064 | − | 0.00206651i | ||||
\(617\) | 10.7674 | − | 36.6703i | 0.433478 | − | 1.47629i | −0.396260 | − | 0.918138i | \(-0.629692\pi\) |
0.829738 | − | 0.558152i | \(-0.188490\pi\) | |||||||
\(618\) | 18.1874 | − | 8.30589i | 0.731603 | − | 0.334112i | ||||
\(619\) | −3.82211 | + | 26.5833i | −0.153623 | + | 1.06847i | 0.756457 | + | 0.654043i | \(0.226929\pi\) |
−0.910081 | + | 0.414431i | \(0.863981\pi\) | |||||||
\(620\) | −2.77533 | + | 6.12242i | −0.111460 | + | 0.245882i | ||||
\(621\) | 3.25800 | − | 3.51930i | 0.130739 | − | 0.141225i | ||||
\(622\) | 4.78711i | 0.191946i | ||||||||
\(623\) | −43.0079 | − | 6.18360i | −1.72307 | − | 0.247741i | ||||
\(624\) | 1.48380 | + | 3.24907i | 0.0593995 | + | 0.130067i | ||||
\(625\) | 10.1302 | − | 22.8556i | 0.405207 | − | 0.914225i | ||||
\(626\) | 12.6882 | + | 14.6429i | 0.507122 | + | 0.585250i | ||||
\(627\) | 0.0310751 | + | 0.105832i | 0.00124102 | + | 0.00422653i | ||||
\(628\) | 10.5984 | − | 16.4914i | 0.422923 | − | 0.658080i | ||||
\(629\) | 4.02877 | − | 8.82177i | 0.160637 | − | 0.351747i | ||||
\(630\) | 4.27684 | + | 9.29604i | 0.170393 | + | 0.370363i | ||||
\(631\) | −21.2884 | + | 13.6813i | −0.847480 | + | 0.544642i | −0.890788 | − | 0.454420i | \(-0.849847\pi\) |
0.0433081 | + | 0.999062i | \(0.486210\pi\) | |||||||
\(632\) | −15.7717 | + | 2.26762i | −0.627363 | + | 0.0902012i | ||||
\(633\) | 10.5960 | − | 1.52347i | 0.421152 | − | 0.0605525i | ||||
\(634\) | −5.58285 | + | 3.58788i | −0.221723 | + | 0.142493i | ||||
\(635\) | −5.80412 | + | 2.67031i | −0.230330 | + | 0.105968i | ||||
\(636\) | 3.13061 | − | 6.85508i | 0.124137 | − | 0.271822i | ||||
\(637\) | −26.9223 | + | 41.8920i | −1.06670 | + | 1.65982i | ||||
\(638\) | −0.0281820 | − | 0.0959792i | −0.00111574 | − | 0.00379985i | ||||
\(639\) | 8.56052 | + | 9.87937i | 0.338649 | + | 0.390822i | ||||
\(640\) | −1.69400 | − | 1.45958i | −0.0669612 | − | 0.0576949i | ||||
\(641\) | 7.65167 | + | 16.7548i | 0.302223 | + | 0.661775i | 0.998427 | − | 0.0560684i | \(-0.0178565\pi\) |
−0.696204 | + | 0.717844i | \(0.745129\pi\) | |||||||
\(642\) | −8.71985 | − | 1.25373i | −0.344145 | − | 0.0494806i | ||||
\(643\) | 48.9713i | 1.93124i | 0.259956 | + | 0.965621i | \(0.416292\pi\) | ||||
−0.259956 | + | 0.965621i | \(0.583708\pi\) | |||||||
\(644\) | −21.2495 | + | 5.48785i | −0.837346 | + | 0.216252i | ||||
\(645\) | 6.73818 | − | 14.8645i | 0.265316 | − | 0.585289i | ||||
\(646\) | 3.07262 | − | 21.3705i | 0.120891 | − | 0.840813i | ||||
\(647\) | 29.5217 | − | 13.4821i | 1.16062 | − | 0.530035i | 0.260409 | − | 0.965498i | \(-0.416143\pi\) |
0.900207 | + | 0.435463i | \(0.143415\pi\) | |||||||
\(648\) | 0.281733 | − | 0.959493i | 0.0110675 | − | 0.0376924i | ||||
\(649\) | −0.0835517 | − | 0.0964238i | −0.00327969 | − | 0.00378496i | ||||
\(650\) | −15.0780 | − | 9.57119i | −0.591406 | − | 0.375413i | ||||
\(651\) | 11.5731 | + | 7.43760i | 0.453587 | + | 0.291502i | ||||
\(652\) | 9.81635 | + | 4.48298i | 0.384438 | + | 0.175567i | ||||
\(653\) | 2.13136 | + | 1.84684i | 0.0834066 | + | 0.0722722i | 0.695566 | − | 0.718462i | \(-0.255154\pi\) |
−0.612160 | + | 0.790734i | \(0.709699\pi\) | |||||||
\(654\) | −5.86530 | + | 3.76940i | −0.229351 | + | 0.147395i | ||||
\(655\) | −11.4738 | − | 3.33416i | −0.448318 | − | 0.130276i | ||||
\(656\) | −0.517593 | − | 3.59994i | −0.0202086 | − | 0.140554i | ||||
\(657\) | −2.59216 | − | 4.03348i | −0.101130 | − | 0.157361i | ||||
\(658\) | 3.18473 | + | 2.75959i | 0.124154 | + | 0.107580i | ||||
\(659\) | 5.49972 | − | 12.0427i | 0.214239 | − | 0.469117i | −0.771751 | − | 0.635925i | \(-0.780619\pi\) |
0.985989 | + | 0.166808i | \(0.0533459\pi\) | |||||||
\(660\) | −0.0180063 | − | 0.0278467i | −0.000700895 | − | 0.00108393i | ||||
\(661\) | −41.1214 | + | 12.0743i | −1.59944 | + | 0.469637i | −0.955390 | − | 0.295348i | \(-0.904564\pi\) |
−0.644048 | + | 0.764985i | \(0.722746\pi\) | |||||||
\(662\) | −7.49288 | + | 6.49261i | −0.291219 | + | 0.252343i | ||||
\(663\) | 2.92118 | − | 9.94863i | 0.113449 | − | 0.386373i | ||||
\(664\) | −5.83692 | − | 12.7811i | −0.226516 | − | 0.496001i | ||||
\(665\) | −40.9667 | + | 64.1394i | −1.58862 | + | 2.48722i | ||||
\(666\) | 3.34088 | 0.129457 | ||||||||
\(667\) | −31.8506 | − | 5.65324i | −1.23326 | − | 0.218894i | ||||
\(668\) | 13.1195i | 0.507608i | ||||||||
\(669\) | 2.27939 | − | 15.8535i | 0.0881265 | − | 0.612933i | ||||
\(670\) | 11.9676 | − | 0.0334917i | 0.462348 | − | 0.00129390i | ||||
\(671\) | 0.0939214 | + | 0.0275778i | 0.00362580 | + | 0.00106463i | ||||
\(672\) | −3.45846 | + | 2.99677i | −0.133413 | + | 0.115603i | ||||
\(673\) | −6.73450 | − | 22.9356i | −0.259596 | − | 0.884102i | −0.981395 | − | 0.192000i | \(-0.938503\pi\) |
0.721799 | − | 0.692103i | \(-0.243315\pi\) | |||||||
\(674\) | −3.90427 | − | 2.50912i | −0.150387 | − | 0.0966478i | ||||
\(675\) | 1.43549 | + | 4.78951i | 0.0552521 | + | 0.184348i | ||||
\(676\) | 0.158416 | − | 0.182822i | 0.00609294 | − | 0.00703162i | ||||
\(677\) | 18.4622 | + | 28.7278i | 0.709560 | + | 1.10410i | 0.989563 | + | 0.144098i | \(0.0460282\pi\) |
−0.280003 | + | 0.959999i | \(0.590335\pi\) | |||||||
\(678\) | −19.8624 | + | 2.85578i | −0.762810 | + | 0.109675i | ||||
\(679\) | 4.18637 | + | 29.1169i | 0.160658 | + | 1.11740i | ||||
\(680\) | 0.941746 | + | 6.42235i | 0.0361143 | + | 0.246286i | ||||
\(681\) | 15.2885 | − | 17.6438i | 0.585856 | − | 0.676113i | ||||
\(682\) | −0.0405537 | − | 0.0185203i | −0.00155288 | − | 0.000709178i | ||||
\(683\) | −21.4148 | + | 33.3221i | −0.819416 | + | 1.27504i | 0.139180 | + | 0.990267i | \(0.455553\pi\) |
−0.958596 | + | 0.284769i | \(0.908083\pi\) | |||||||
\(684\) | 7.13628 | − | 2.09540i | 0.272863 | − | 0.0801197i | ||||
\(685\) | −3.79333 | − | 12.7864i | −0.144936 | − | 0.488544i | ||||
\(686\) | −30.4792 | − | 8.94949i | −1.16370 | − | 0.341693i | ||||
\(687\) | −8.84717 | + | 4.04037i | −0.337541 | + | 0.154150i | ||||
\(688\) | 7.22443 | + | 1.03872i | 0.275429 | + | 0.0396007i | ||||
\(689\) | 26.9178 | 1.02549 | ||||||||
\(690\) | −10.6557 | + | 1.20639i | −0.405657 | + | 0.0459264i | ||||
\(691\) | −23.4616 | −0.892522 | −0.446261 | − | 0.894903i | \(-0.647245\pi\) | ||||
−0.446261 | + | 0.894903i | \(0.647245\pi\) | |||||||
\(692\) | 12.3234 | + | 1.77184i | 0.468467 | + | 0.0673553i | ||||
\(693\) | −0.0617328 | + | 0.0281924i | −0.00234503 | + | 0.00107094i | ||||
\(694\) | 2.45881 | + | 0.721973i | 0.0933353 | + | 0.0274057i | ||||
\(695\) | 18.1275 | − | 5.37786i | 0.687615 | − | 0.203994i | ||||
\(696\) | −6.47189 | + | 1.90032i | −0.245316 | + | 0.0720314i | ||||
\(697\) | −5.70789 | + | 8.88166i | −0.216202 | + | 0.336417i | ||||
\(698\) | −10.8083 | − | 4.93599i | −0.409101 | − | 0.186830i | ||||
\(699\) | −3.03831 | + | 3.50640i | −0.114919 | + | 0.132624i | ||||
\(700\) | 6.32334 | − | 21.9899i | 0.239000 | − | 0.831139i | ||||
\(701\) | 1.61932 | + | 11.2626i | 0.0611608 | + | 0.425382i | 0.997280 | + | 0.0737007i | \(0.0234810\pi\) |
−0.936120 | + | 0.351682i | \(0.885610\pi\) | |||||||
\(702\) | 3.53549 | − | 0.508327i | 0.133439 | − | 0.0191856i | ||||
\(703\) | 13.4338 | + | 20.9035i | 0.506667 | + | 0.788389i | ||||
\(704\) | 0.00971169 | − | 0.0112079i | 0.000366023 | − | 0.000422413i | ||||
\(705\) | 1.35277 | + | 1.55238i | 0.0509482 | + | 0.0584659i | ||||
\(706\) | −7.15532 | − | 4.59844i | −0.269294 | − | 0.173065i | ||||
\(707\) | 9.68428 | + | 32.9816i | 0.364215 | + | 1.24040i | ||||
\(708\) | −6.50187 | + | 5.63391i | −0.244355 | + | 0.211735i | ||||
\(709\) | 31.2658 | + | 9.18047i | 1.17421 | + | 0.344780i | 0.809940 | − | 0.586513i | \(-0.199500\pi\) |
0.364272 | + | 0.931292i | \(0.381318\pi\) | |||||||
\(710\) | −0.0818022 | − | 29.2304i | −0.00306998 | − | 1.09700i | ||||
\(711\) | −2.26762 | + | 15.7717i | −0.0850425 | + | 0.591484i | ||||
\(712\) | − | 9.49482i | − | 0.355834i | ||||||
\(713\) | −11.2002 | + | 9.07820i | −0.419450 | + | 0.339981i | ||||
\(714\) | 13.2841 | 0.497146 | ||||||||
\(715\) | 0.0637581 | − | 0.0998227i | 0.00238442 | − | 0.00373316i | ||||
\(716\) | −4.66815 | − | 10.2218i | −0.174457 | − | 0.382008i | ||||
\(717\) | −6.82470 | + | 23.2428i | −0.254873 | + | 0.868018i | ||||
\(718\) | 3.88882 | − | 3.36968i | 0.145130 | − | 0.125755i | ||||
\(719\) | 8.90966 | − | 2.61611i | 0.332274 | − | 0.0975645i | −0.111340 | − | 0.993782i | \(-0.535514\pi\) |
0.443614 | + | 0.896218i | \(0.353696\pi\) | |||||||
\(720\) | −1.87771 | + | 1.21417i | −0.0699781 | + | 0.0452494i | ||||
\(721\) | −38.0094 | + | 83.2289i | −1.41554 | + | 3.09961i | ||||
\(722\) | 27.4467 | + | 23.7827i | 1.02146 | + | 0.885101i | ||||
\(723\) | 6.72639 | + | 10.4665i | 0.250157 | + | 0.389252i | ||||
\(724\) | 2.10621 | + | 14.6490i | 0.0782768 | + | 0.544427i | ||||
\(725\) | 21.9426 | − | 25.6113i | 0.814926 | − | 0.951180i | ||||
\(726\) | −9.25360 | + | 5.94693i | −0.343433 | + | 0.220711i | ||||
\(727\) | 33.3710 | + | 28.9161i | 1.23766 | + | 1.07244i | 0.994744 | + | 0.102392i | \(0.0326496\pi\) |
0.242917 | + | 0.970047i | \(0.421896\pi\) | |||||||
\(728\) | −14.8684 | − | 6.79015i | −0.551058 | − | 0.251660i | ||||
\(729\) | −0.841254 | − | 0.540641i | −0.0311575 | − | 0.0200237i | ||||
\(730\) | −1.49606 | + | 10.6162i | −0.0553718 | + | 0.392922i | ||||
\(731\) | −13.8747 | − | 16.0123i | −0.513175 | − | 0.592235i | ||||
\(732\) | 1.85958 | − | 6.33314i | 0.0687320 | − | 0.234080i | ||||
\(733\) | −35.4262 | + | 16.1786i | −1.30850 | + | 0.597570i | −0.942861 | − | 0.333188i | \(-0.891876\pi\) |
−0.365636 | + | 0.930758i | \(0.619148\pi\) | |||||||
\(734\) | 3.58578 | − | 24.9397i | 0.132354 | − | 0.920540i | ||||
\(735\) | −28.3932 | − | 12.8708i | −1.04730 | − | 0.474748i | ||||
\(736\) | −1.84785 | − | 4.42555i | −0.0681125 | − | 0.163128i | ||||
\(737\) | 0.0793723i | 0.00292372i | ||||||||
\(738\) | −3.59994 | − | 0.517593i | −0.132516 | − | 0.0190529i | ||||
\(739\) | −11.0207 | − | 24.1319i | −0.405403 | − | 0.887708i | −0.996694 | − | 0.0812498i | \(-0.974109\pi\) |
0.591291 | − | 0.806458i | \(-0.298618\pi\) | |||||||
\(740\) | −5.65945 | − | 4.87628i | −0.208046 | − | 0.179256i | ||||
\(741\) | 17.3969 | + | 20.0771i | 0.639091 | + | 0.737551i | ||||
\(742\) | 9.71602 | + | 33.0897i | 0.356686 | + | 1.21476i | ||||
\(743\) | −11.8932 | + | 18.5062i | −0.436320 | + | 0.678927i | −0.987882 | − | 0.155207i | \(-0.950396\pi\) |
0.551562 | + | 0.834134i | \(0.314032\pi\) | |||||||
\(744\) | −1.24883 | + | 2.73455i | −0.0457841 | + | 0.100253i | ||||
\(745\) | −7.72012 | − | 16.7803i | −0.282843 | − | 0.614782i | ||||
\(746\) | −14.8820 | + | 9.56408i | −0.544869 | + | 0.350166i | ||||
\(747\) | −13.9078 | + | 1.99964i | −0.508859 | + | 0.0731629i | ||||
\(748\) | −0.0426119 | + | 0.00612667i | −0.00155805 | + | 0.000224013i | ||||
\(749\) | 33.9144 | − | 21.7954i | 1.23920 | − | 0.796388i | ||||
\(750\) | 4.55894 | − | 10.2086i | 0.166469 | − | 0.372766i | ||||
\(751\) | −11.5407 | + | 25.2706i | −0.421126 | + | 0.922137i | 0.573559 | + | 0.819165i | \(0.305562\pi\) |
−0.994684 | + | 0.102972i | \(0.967165\pi\) | |||||||
\(752\) | −0.497851 | + | 0.774671i | −0.0181548 | + | 0.0282494i | ||||
\(753\) | 1.94020 | + | 6.60771i | 0.0707048 | + | 0.240798i | ||||
\(754\) | −15.7772 | − | 18.2079i | −0.574573 | − | 0.663093i | ||||
\(755\) | 1.11982 | − | 1.29967i | 0.0407543 | − | 0.0472998i | ||||
\(756\) | 1.90102 | + | 4.16265i | 0.0691394 | + | 0.151394i | ||||
\(757\) | −31.5746 | − | 4.53974i | −1.14760 | − | 0.164999i | −0.457836 | − | 0.889037i | \(-0.651375\pi\) |
−0.689761 | + | 0.724037i | \(0.742284\pi\) | |||||||
\(758\) | 31.4950i | 1.14395i | ||||||||
\(759\) | −0.00780326 | − | 0.0706936i | −0.000283240 | − | 0.00256601i | ||||
\(760\) | −15.1473 | − | 6.86635i | −0.549449 | − | 0.249069i | ||||
\(761\) | −7.21184 | + | 50.1594i | −0.261429 | + | 1.81828i | 0.260709 | + | 0.965417i | \(0.416044\pi\) |
−0.522138 | + | 0.852861i | \(0.674866\pi\) | |||||||
\(762\) | −2.59901 | + | 1.18693i | −0.0941524 | + | 0.0429980i | ||||
\(763\) | 8.98886 | − | 30.6132i | 0.325418 | − | 1.10827i | ||||
\(764\) | −1.84312 | − | 2.12707i | −0.0666816 | − | 0.0769547i | ||||
\(765\) | 6.42752 | + | 0.905786i | 0.232387 | + | 0.0327487i | ||||
\(766\) | 29.4209 | + | 18.9077i | 1.06302 | + | 0.683161i | ||||
\(767\) | −27.9524 | − | 12.7654i | −1.00930 | − | 0.460933i | ||||
\(768\) | −0.755750 | − | 0.654861i | −0.0272708 | − | 0.0236303i | ||||
\(769\) | 21.4845 | − | 13.8072i | 0.774749 | − | 0.497901i | −0.0925380 | − | 0.995709i | \(-0.529498\pi\) |
0.867287 | + | 0.497808i | \(0.165862\pi\) | |||||||
\(770\) | 0.145724 | + | 0.0423459i | 0.00525154 | + | 0.00152604i | ||||
\(771\) | 0.109875 | + | 0.764196i | 0.00395704 | + | 0.0275218i | ||||
\(772\) | 11.4384 | + | 17.7985i | 0.411678 | + | 0.640583i | ||||
\(773\) | −20.7981 | − | 18.0217i | −0.748057 | − | 0.648195i | 0.195009 | − | 0.980802i | \(-0.437527\pi\) |
−0.943066 | + | 0.332606i | \(0.892072\pi\) | |||||||
\(774\) | 3.03200 | − | 6.63915i | 0.108983 | − | 0.238639i | ||||
\(775\) | −2.22238 | − | 14.8659i | −0.0798303 | − | 0.533997i | ||||
\(776\) | −6.16773 | + | 1.81101i | −0.221408 | + | 0.0650114i | ||||
\(777\) | −11.5543 | + | 10.0119i | −0.414508 | + | 0.359173i | ||||
\(778\) | 6.85280 | − | 23.3385i | 0.245685 | − | 0.836726i | ||||
\(779\) | −11.2370 | − | 24.6056i | −0.402608 | − | 0.881588i | ||||
\(780\) | −6.73106 | − | 4.29922i | −0.241011 | − | 0.153937i | ||||
\(781\) | 0.193864 | 0.00693699 | ||||||||
\(782\) | −4.35898 | + | 13.2217i | −0.155877 | + | 0.472807i | ||||
\(783\) | 6.74512i | 0.241051i | ||||||||
\(784\) | 1.98409 | − | 13.7997i | 0.0708604 | − | 0.492845i | ||||
\(785\) | 0.122672 | + | 43.8344i | 0.00437835 | + | 1.56452i | ||||
\(786\) | −5.12704 | − | 1.50543i | −0.182875 | − | 0.0536971i | ||||
\(787\) | 2.48519 | − | 2.15343i | 0.0885874 | − | 0.0767614i | −0.609441 | − | 0.792831i | \(-0.708606\pi\) |
0.698029 | + | 0.716070i | \(0.254061\pi\) | |||||||
\(788\) | 6.52758 | + | 22.2309i | 0.232535 | + | 0.791943i | ||||
\(789\) | 1.63135 | + | 1.04841i | 0.0580777 | + | 0.0373243i | ||||
\(790\) | 26.8613 | − | 23.4074i | 0.955684 | − | 0.832799i | ||||
\(791\) | 60.1351 | − | 69.3995i | 2.13816 | − | 2.46756i | ||||
\(792\) | −0.00801779 | − | 0.0124759i | −0.000284900 | − | 0.000443313i | ||||
\(793\) | 23.3360 | − | 3.35521i | 0.828687 | − | 0.119147i | ||||
\(794\) | 1.48438 | + | 10.3241i | 0.0526786 | + | 0.366388i | ||||
\(795\) | 2.44485 | + | 16.6729i | 0.0867099 | + | 0.591328i | ||||
\(796\) | −12.0137 | + | 13.8646i | −0.425816 | + | 0.491418i | ||||
\(797\) | −19.8313 | − | 9.05666i | −0.702462 | − | 0.320803i | 0.0319675 | − | 0.999489i | \(-0.489823\pi\) |
−0.734429 | + | 0.678685i | \(0.762550\pi\) | |||||||
\(798\) | −18.4011 | + | 28.6326i | −0.651391 | + | 1.01358i | ||||
\(799\) | 2.56484 | − | 0.753106i | 0.0907377 | − | 0.0266430i | ||||
\(800\) | 4.95301 | + | 0.683863i | 0.175115 | + | 0.0241782i | ||||
\(801\) | −9.11022 | − | 2.67500i | −0.321894 | − | 0.0945165i | ||||
\(802\) | −7.24407 | + | 3.30826i | −0.255797 | + | 0.116819i | ||||
\(803\) | −0.0703811 | − | 0.0101193i | −0.00248369 | − | 0.000357101i | ||||
\(804\) | 5.35209 | 0.188754 | ||||||||
\(805\) | 33.2371 | − | 36.1050i | 1.17145 | − | 1.27253i | ||||
\(806\) | −10.7377 | −0.378220 | ||||||||
\(807\) | −5.09903 | − | 0.733129i | −0.179494 | − | 0.0258074i | ||||
\(808\) | −6.83269 | + | 3.12038i | −0.240373 | + | 0.109775i | ||||
\(809\) | −4.12486 | − | 1.21117i | −0.145022 | − | 0.0425824i | 0.208416 | − | 0.978040i | \(-0.433169\pi\) |
−0.353438 | + | 0.935458i | \(0.614987\pi\) | |||||||
\(810\) | 0.635975 | + | 2.14372i | 0.0223459 | + | 0.0753226i | ||||
\(811\) | 43.1072 | − | 12.6574i | 1.51370 | − | 0.444462i | 0.583683 | − | 0.811982i | \(-0.301611\pi\) |
0.930016 | + | 0.367520i | \(0.119793\pi\) | |||||||
\(812\) | 16.6879 | − | 25.9669i | 0.585632 | − | 0.911261i | ||||
\(813\) | −7.14297 | − | 3.26209i | −0.250515 | − | 0.114406i | ||||
\(814\) | 0.0324456 | − | 0.0374442i | 0.00113722 | − | 0.00131242i | ||||
\(815\) | −23.8753 | + | 3.50098i | −0.836317 | + | 0.122634i | ||||
\(816\) | 0.413122 | + | 2.87333i | 0.0144622 | + | 0.100587i | ||||
\(817\) | 53.7321 | − | 7.72551i | 1.87985 | − | 0.270281i | ||||
\(818\) | −6.47892 | − | 10.0814i | −0.226530 | − | 0.352488i | ||||
\(819\) | −10.7040 | + | 12.3531i | −0.374028 | + | 0.431652i | ||||
\(820\) | 5.34283 | + | 6.13120i | 0.186580 | + | 0.214111i | ||||
\(821\) | 11.6099 | + | 7.46126i | 0.405190 | + | 0.260400i | 0.727324 | − | 0.686294i | \(-0.240764\pi\) |
−0.322134 | + | 0.946694i | \(0.604400\pi\) | |||||||
\(822\) | −1.68042 | − | 5.72299i | −0.0586114 | − | 0.199612i | ||||
\(823\) | −0.433501 | + | 0.375630i | −0.0151109 | + | 0.0130937i | −0.662383 | − | 0.749165i | \(-0.730455\pi\) |
0.647273 | + | 0.762259i | \(0.275910\pi\) | |||||||
\(824\) | −19.1843 | − | 5.63302i | −0.668316 | − | 0.196235i | ||||
\(825\) | 0.0676213 | + | 0.0304253i | 0.00235427 | + | 0.00105927i | ||||
\(826\) | 5.60293 | − | 38.9692i | 0.194951 | − | 1.35591i | ||||
\(827\) | − | 52.7565i | − | 1.83452i | −0.398284 | − | 0.917262i | \(-0.630394\pi\) | ||
0.398284 | − | 0.917262i | \(-0.369606\pi\) | |||||||
\(828\) | −4.76688 | + | 0.526175i | −0.165661 | + | 0.0182858i | ||||
\(829\) | 38.5039 | 1.33729 | 0.668647 | − | 0.743580i | \(-0.266874\pi\) | ||||
0.668647 | + | 0.743580i | \(0.266874\pi\) | |||||||
\(830\) | 26.4784 | + | 16.9121i | 0.919079 | + | 0.587028i | ||||
\(831\) | −0.355188 | − | 0.777753i | −0.0123213 | − | 0.0269800i | ||||
\(832\) | 1.00631 | − | 3.42716i | 0.0348874 | − | 0.118815i | ||||
\(833\) | −30.5856 | + | 26.5026i | −1.05973 | + | 0.918261i | ||||
\(834\) | 8.11356 | − | 2.38236i | 0.280950 | − | 0.0824943i | ||||
\(835\) | −15.9293 | − | 24.6346i | −0.551255 | − | 0.852514i | ||||
\(836\) | 0.0458203 | − | 0.100332i | 0.00158473 | − | 0.00347007i | ||||
\(837\) | 2.27194 | + | 1.96865i | 0.0785298 | + | 0.0680465i | ||||
\(838\) | −17.2777 | − | 26.8847i | −0.596849 | − | 0.928715i | ||||
\(839\) | 5.99132 | + | 41.6706i | 0.206843 | + | 1.43863i | 0.783373 | + | 0.621552i | \(0.213497\pi\) |
−0.576530 | + | 0.817076i | \(0.695594\pi\) | |||||||
\(840\) | 2.85539 | − | 9.82622i | 0.0985204 | − | 0.339037i | ||||
\(841\) | 13.8778 | − | 8.91873i | 0.478546 | − | 0.307543i | ||||
\(842\) | 22.5339 | + | 19.5258i | 0.776570 | + | 0.672902i | ||||
\(843\) | 17.5116 | + | 7.99727i | 0.603131 | + | 0.275441i | ||||
\(844\) | −9.00556 | − | 5.78752i | −0.309984 | − | 0.199215i | ||||
\(845\) | −0.0754828 | + | 0.535631i | −0.00259669 | + | 0.0184263i | ||||
\(846\) | 0.603031 | + | 0.695935i | 0.0207326 | + | 0.0239267i | ||||
\(847\) | 14.1816 | − | 48.2981i | 0.487286 | − | 1.65954i | ||||
\(848\) | −6.85508 | + | 3.13061i | −0.235404 | + | 0.107506i | ||||
\(849\) | 1.45728 | − | 10.1356i | 0.0500136 | − | 0.347852i | ||||
\(850\) | −9.56614 | − | 10.9159i | −0.328116 | − | 0.374411i | ||||
\(851\) | −6.17344 | − | 14.7852i | −0.211623 | − | 0.506831i | ||||
\(852\) | − | 13.0723i | − | 0.447849i | ||||||
\(853\) | −3.15122 | − | 0.453077i | −0.107896 | − | 0.0155130i | 0.0881555 | − | 0.996107i | \(-0.471903\pi\) |
−0.196051 | + | 0.980594i | \(0.562812\pi\) | |||||||
\(854\) | 12.5477 | + | 27.4756i | 0.429373 | + | 0.940196i | ||||
\(855\) | −10.8557 | + | 12.5992i | −0.371257 | + | 0.430884i | ||||
\(856\) | 5.76901 | + | 6.65779i | 0.197181 | + | 0.227559i | ||||
\(857\) | −4.68678 | − | 15.9617i | −0.160097 | − | 0.545242i | −0.999997 | − | 0.00249978i | \(-0.999204\pi\) |
0.839899 | − | 0.542742i | \(-0.182614\pi\) | |||||||
\(858\) | 0.0286383 | − | 0.0445621i | 0.000977696 | − | 0.00152132i | ||||
\(859\) | 9.33700 | − | 20.4452i | 0.318574 | − | 0.697580i | −0.680818 | − | 0.732453i | \(-0.738375\pi\) |
0.999392 | + | 0.0348728i | \(0.0111026\pi\) | |||||||
\(860\) | −14.8266 | + | 6.82127i | −0.505581 | + | 0.232603i | ||||
\(861\) | 14.0014 | − | 8.99812i | 0.477165 | − | 0.306655i | ||||
\(862\) | 6.51154 | − | 0.936218i | 0.221784 | − | 0.0318877i | ||||
\(863\) | −16.5866 | + | 2.38480i | −0.564616 | + | 0.0811795i | −0.418712 | − | 0.908119i | \(-0.637518\pi\) |
−0.145904 | + | 0.989299i | \(0.546609\pi\) | |||||||
\(864\) | −0.841254 | + | 0.540641i | −0.0286200 | + | 0.0183930i | ||||
\(865\) | −25.2911 | + | 11.6357i | −0.859925 | + | 0.395627i | ||||
\(866\) | 0.0458560 | − | 0.100411i | 0.00155825 | − | 0.00341209i | ||||
\(867\) | −4.63508 | + | 7.21233i | −0.157416 | + | 0.244943i | ||||
\(868\) | −3.87580 | − | 13.1997i | −0.131553 | − | 0.448029i | ||||
\(869\) | 0.154745 | + | 0.178585i | 0.00524935 | + | 0.00605807i | ||||
\(870\) | 9.84502 | − | 11.4262i | 0.333778 | − | 0.387385i | ||||
\(871\) | 7.94142 | + | 17.3893i | 0.269085 | + | 0.589214i | ||||
\(872\) | 6.90112 | + | 0.992232i | 0.233702 | + | 0.0336012i | ||||
\(873\) | 6.42811i | 0.217559i | ||||||||
\(874\) | −22.4600 | − | 27.7100i | −0.759722 | − | 0.937304i | ||||
\(875\) | 14.8260 | + | 48.9682i | 0.501211 | + | 1.65543i | ||||
\(876\) | −0.682344 | + | 4.74581i | −0.0230543 | + | 0.160346i | ||||
\(877\) | 26.9633 | − | 12.3137i | 0.910487 | − | 0.415806i | 0.0955964 | − | 0.995420i | \(-0.469524\pi\) |
0.814891 | + | 0.579615i | \(0.196797\pi\) | |||||||
\(878\) | 0.503486 | − | 1.71472i | 0.0169918 | − | 0.0578689i | ||||
\(879\) | −11.1678 | − | 12.8884i | −0.376682 | − | 0.434714i | ||||
\(880\) | −0.00462746 | + | 0.0328368i | −0.000155992 | + | 0.00110693i | ||||
\(881\) | −14.8048 | − | 9.51448i | −0.498787 | − | 0.320551i | 0.266944 | − | 0.963712i | \(-0.413986\pi\) |
−0.765731 | + | 0.643161i | \(0.777623\pi\) | |||||||
\(882\) | −12.6817 | − | 5.79153i | −0.427015 | − | 0.195011i | ||||
\(883\) | 36.8328 | + | 31.9158i | 1.23952 | + | 1.07405i | 0.994522 | + | 0.104528i | \(0.0333332\pi\) |
0.244999 | + | 0.969523i | \(0.421212\pi\) | |||||||
\(884\) | −8.72265 | + | 5.60570i | −0.293374 | + | 0.188540i | ||||
\(885\) | 5.36812 | − | 18.4732i | 0.180447 | − | 0.620970i | ||||
\(886\) | 3.53334 | + | 24.5749i | 0.118705 | + | 0.825611i | ||||
\(887\) | −18.4568 | − | 28.7193i | −0.619717 | − | 0.964299i | −0.999235 | − | 0.0391144i | \(-0.987546\pi\) |
0.379517 | − | 0.925185i | \(-0.376090\pi\) | |||||||
\(888\) | −2.52487 | − | 2.18781i | −0.0847291 | − | 0.0734182i | ||||
\(889\) | 5.43162 | − | 11.8936i | 0.182171 | − | 0.398898i | ||||
\(890\) | 11.5283 | + | 17.8285i | 0.386430 | + | 0.597613i | ||||
\(891\) | −0.0142294 | + | 0.00417814i | −0.000476704 | + | 0.000139973i | ||||
\(892\) | −12.1045 | + | 10.4886i | −0.405289 | + | 0.351185i | ||||
\(893\) | −1.92956 | + | 6.57147i | −0.0645702 | + | 0.219906i | ||||
\(894\) | −3.43153 | − | 7.51400i | −0.114767 | − | 0.251306i | ||||
\(895\) | 21.1765 | + | 13.5257i | 0.707851 | + | 0.452114i | ||||
\(896\) | 4.57619 | 0.152880 | ||||||||
\(897\) | −8.78267 | − | 14.7072i | −0.293245 | − | 0.491058i | ||||
\(898\) | − | 23.8738i | − | 0.796680i | ||||||
\(899\) | 2.88575 | − | 20.0708i | 0.0962452 | − | 0.669400i | ||||
\(900\) | 2.05159 | − | 4.55971i | 0.0683862 | − | 0.151990i | ||||
\(901\) | 20.9902 | + | 6.16329i | 0.699286 | + | 0.205329i | ||||
\(902\) | −0.0407626 | + | 0.0353210i | −0.00135725 | + | 0.00117606i | ||||
\(903\) | 9.40997 | + | 32.0474i | 0.313144 | + | 1.06647i | ||||
\(904\) | 16.8811 | + | 10.8488i | 0.561458 | + | 0.360827i | ||||
\(905\) | −21.7413 | − | 24.9493i | −0.722705 | − | 0.829344i | ||||
\(906\) | 0.502422 | − | 0.579826i | 0.0166919 | − | 0.0192634i | ||||
\(907\) | −16.1497 | − | 25.1294i | −0.536242 | − | 0.834409i | 0.462391 | − | 0.886676i | \(-0.346992\pi\) |
−0.998633 | + | 0.0522674i | \(0.983355\pi\) | |||||||
\(908\) | −23.1085 | + | 3.32250i | −0.766883 | + | 0.110261i | ||||
\(909\) | 1.06900 | + | 7.43503i | 0.0354563 | + | 0.246604i | ||||
\(910\) | 36.1629 | − | 5.30277i | 1.19879 | − | 0.175785i | ||||
\(911\) | 2.95632 | − | 3.41178i | 0.0979474 | − | 0.113037i | −0.704660 | − | 0.709546i | \(-0.748900\pi\) |
0.802607 | + | 0.596508i | \(0.203446\pi\) | |||||||
\(912\) | −6.76544 | − | 3.08967i | −0.224026 | − | 0.102309i | ||||
\(913\) | −0.112656 | + | 0.175297i | −0.00372838 | + | 0.00580147i | ||||
\(914\) | −6.18062 | + | 1.81479i | −0.204437 | + | 0.0600280i | ||||
\(915\) | 4.19776 | + | 14.1496i | 0.138774 | + | 0.467773i | ||||
\(916\) | 9.33213 | + | 2.74016i | 0.308342 | + | 0.0905374i | ||||
\(917\) | 22.2431 | − | 10.1581i | 0.734531 | − | 0.335449i | ||||
\(918\) | 2.87333 | + | 0.413122i | 0.0948340 | + | 0.0136351i | ||||
\(919\) | −31.6282 | −1.04332 | −0.521659 | − | 0.853154i | \(-0.674687\pi\) | ||||
−0.521659 | + | 0.853154i | \(0.674687\pi\) | |||||||
\(920\) | 8.84308 | + | 6.06629i | 0.291548 | + | 0.200000i | ||||
\(921\) | −28.7498 | −0.947338 | ||||||||
\(922\) | −10.0098 | − | 1.43920i | −0.329656 | − | 0.0473974i | ||||
\(923\) | 42.4727 | − | 19.3966i | 1.39801 | − | 0.638448i | ||||
\(924\) | 0.0651166 | + | 0.0191200i | 0.00214218 | + | 0.000629001i | ||||
\(925\) | 16.5474 | + | 2.28471i | 0.544076 | + | 0.0751207i | ||||
\(926\) | −10.3315 | + | 3.03362i | −0.339516 | + | 0.0996908i | ||||
\(927\) | −10.8097 | + | 16.8202i | −0.355036 | + | 0.552447i | ||||
\(928\) | 6.13557 | + | 2.80202i | 0.201410 | + | 0.0919809i | ||||
\(929\) | 21.7712 | − | 25.1253i | 0.714290 | − | 0.824335i | −0.276318 | − | 0.961066i | \(-0.589114\pi\) |
0.990608 | + | 0.136731i | \(0.0436597\pi\) | |||||||
\(930\) | −0.975270 | − | 6.65097i | −0.0319804 | − | 0.218094i | ||||
\(931\) | −14.7568 | − | 102.636i | −0.483634 | − | 3.36375i | ||||
\(932\) | 4.59240 | − | 0.660288i | 0.150429 | − | 0.0216284i | ||||
\(933\) | −2.58811 | − | 4.02717i | −0.0847308 | − | 0.131844i | ||||
\(934\) | 21.2883 | − | 24.5680i | 0.696573 | − | 0.803888i | ||||
\(935\) | 0.0725740 | − | 0.0632422i | 0.00237342 | − | 0.00206824i | ||||
\(936\) | −3.00483 | − | 1.93109i | −0.0982159 | − | 0.0631195i | ||||
\(937\) | 2.74124 | + | 9.33579i | 0.0895523 | + | 0.304987i | 0.992074 | − | 0.125658i | \(-0.0401042\pi\) |
−0.902521 | + | 0.430645i | \(0.858286\pi\) | |||||||
\(938\) | −18.5100 | + | 16.0390i | −0.604372 | + | 0.523691i | ||||
\(939\) | −18.5905 | − | 5.45868i | −0.606680 | − | 0.178137i | ||||
\(940\) | −0.00576241 | − | 2.05908i | −0.000187949 | − | 0.0671599i | ||||
\(941\) | −5.53312 | + | 38.4837i | −0.180375 | + | 1.25453i | 0.675504 | + | 0.737356i | \(0.263926\pi\) |
−0.855879 | + | 0.517177i | \(0.826983\pi\) | |||||||
\(942\) | 19.6034i | 0.638714i | ||||||||
\(943\) | 4.36150 | + | 16.8881i | 0.142030 | + | 0.549954i | ||||
\(944\) | 8.60321 | 0.280011 | ||||||||
\(945\) | −8.62373 | − | 5.50809i | −0.280530 | − | 0.179178i | ||||
\(946\) | −0.0449650 | − | 0.0984596i | −0.00146194 | − | 0.00320120i | ||||
\(947\) | 1.83066 | − | 6.23466i | 0.0594885 | − | 0.202599i | −0.924386 | − | 0.381458i | \(-0.875422\pi\) |
0.983875 | + | 0.178858i | \(0.0572404\pi\) | |||||||
\(948\) | 12.0420 | − | 10.4345i | 0.391106 | − | 0.338895i | ||||
\(949\) | −16.4319 | + | 4.82484i | −0.533402 | + | 0.156621i | ||||
\(950\) | 36.7791 | − | 5.49831i | 1.19327 | − | 0.178389i | ||||
\(951\) | 2.75684 | − | 6.03663i | 0.0893966 | − | 0.195751i | ||||
\(952\) | −10.0395 | − | 8.69925i | −0.325381 | − | 0.281944i | ||||
\(953\) | 7.52355 | + | 11.7069i | 0.243712 | + | 0.379223i | 0.941463 | − | 0.337118i | \(-0.109452\pi\) |
−0.697751 | + | 0.716341i | \(0.745816\pi\) | |||||||
\(954\) | 1.07250 | + | 7.45939i | 0.0347234 | + | 0.241507i | ||||
\(955\) | 6.04346 | + | 1.75616i | 0.195562 | + | 0.0568281i | ||||
\(956\) | 20.3786 | − | 13.0965i | 0.659090 | − | 0.423571i | ||||
\(957\) | 0.0755985 | + | 0.0655065i | 0.00244375 | + | 0.00211752i | ||||
\(958\) | 11.7751 | + | 5.37753i | 0.380438 | + | 0.173740i | ||||
\(959\) | 22.9621 | + | 14.7569i | 0.741486 | + | 0.476524i | ||||
\(960\) | 2.21419 | + | 0.312030i | 0.0714627 | + | 0.0100707i | ||||
\(961\) | 14.3825 | + | 16.5983i | 0.463952 | + | 0.535429i | ||||
\(962\) | 3.36195 | − | 11.4497i | 0.108394 | − | 0.369155i | ||||
\(963\) | 8.01342 | − | 3.65961i | 0.258229 | − | 0.117929i | ||||
\(964\) | 1.77061 | − | 12.3149i | 0.0570276 | − | 0.396636i | ||||
\(965\) | −43.0884 | − | 19.5323i | −1.38707 | − | 0.628766i | ||||
\(966\) | 14.9092 | − | 16.1050i | 0.479696 | − | 0.518170i | ||||
\(967\) | 50.9924i | 1.63980i | 0.572504 | + | 0.819902i | \(0.305972\pi\) | ||||
−0.572504 | + | 0.819902i | \(0.694028\pi\) | |||||||
\(968\) | 10.8878 | + | 1.56543i | 0.349948 | + | 0.0503149i | ||||
\(969\) | 8.96894 | + | 19.6392i | 0.288124 | + | 0.630903i | ||||
\(970\) | 9.38233 | − | 10.8892i | 0.301248 | − | 0.349631i | ||||
\(971\) | 38.1164 | + | 43.9887i | 1.22321 | + | 1.41166i | 0.881716 | + | 0.471781i | \(0.156389\pi\) |
0.341497 | + | 0.939883i | \(0.389066\pi\) | |||||||
\(972\) | 0.281733 | + | 0.959493i | 0.00903658 | + | 0.0307758i | ||||
\(973\) | −20.9210 | + | 32.5538i | −0.670697 | + | 1.04363i | ||||
\(974\) | 3.96828 | − | 8.68932i | 0.127152 | − | 0.278424i | ||||
\(975\) | 17.8590 | − | 0.0999586i | 0.571944 | − | 0.00320124i | ||||
\(976\) | −5.55270 | + | 3.56850i | −0.177738 | + | 0.114225i | ||||
\(977\) | 18.8208 | − | 2.70603i | 0.602131 | − | 0.0865734i | 0.165494 | − | 0.986211i | \(-0.447078\pi\) |
0.436638 | + | 0.899637i | \(0.356169\pi\) | |||||||
\(978\) | −10.6817 | + | 1.53580i | −0.341564 | + | 0.0491094i | ||||
\(979\) | −0.118457 | + | 0.0761275i | −0.00378589 | + | 0.00243304i | ||||
\(980\) | 13.0296 | + | 28.3208i | 0.416214 | + | 0.904673i | ||||
\(981\) | 2.89631 | − | 6.34204i | 0.0924721 | − | 0.202486i | ||||
\(982\) | −7.50915 | + | 11.6845i | −0.239627 | + | 0.372866i | ||||
\(983\) | −7.98875 | − | 27.2072i | −0.254802 | − | 0.867775i | −0.983186 | − | 0.182606i | \(-0.941547\pi\) |
0.728384 | − | 0.685169i | \(-0.240272\pi\) | |||||||
\(984\) | 2.38170 | + | 2.74863i | 0.0759259 | + | 0.0876232i | ||||
\(985\) | −39.2490 | − | 33.8176i | −1.25058 | − | 1.07752i | ||||
\(986\) | −8.13392 | − | 17.8108i | −0.259037 | − | 0.567212i | ||||
\(987\) | −4.17111 | − | 0.599716i | −0.132768 | − | 0.0190892i | ||||
\(988\) | − | 26.5658i | − | 0.845171i | ||||||
\(989\) | −34.9845 | − | 1.15012i | −1.11244 | − | 0.0365717i | ||||
\(990\) | 0.0302030 | + | 0.0136912i | 0.000959913 | + | 0.000435135i | ||||
\(991\) | 7.41211 | − | 51.5523i | 0.235453 | − | 1.63761i | −0.438422 | − | 0.898769i | \(-0.644463\pi\) |
0.673876 | − | 0.738845i | \(-0.264628\pi\) | |||||||
\(992\) | 2.73455 | − | 1.24883i | 0.0868219 | − | 0.0396502i | ||||
\(993\) | 2.79324 | − | 9.51289i | 0.0886407 | − | 0.301882i | ||||
\(994\) | 39.1746 | + | 45.2099i | 1.24254 | + | 1.43397i | ||||
\(995\) | 5.72435 | − | 40.6204i | 0.181474 | − | 1.28775i | ||||
\(996\) | 11.8203 | + | 7.59644i | 0.374540 | + | 0.240702i | ||||
\(997\) | −24.7287 | − | 11.2932i | −0.783165 | − | 0.357660i | −0.0166300 | − | 0.999862i | \(-0.505294\pi\) |
−0.766535 | + | 0.642202i | \(0.778021\pi\) | |||||||
\(998\) | 21.3639 | + | 18.5120i | 0.676264 | + | 0.585986i | ||||
\(999\) | −2.81053 | + | 1.80622i | −0.0889212 | + | 0.0571462i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 690.2.r.b.169.7 | yes | 120 | |
5.4 | even | 2 | inner | 690.2.r.b.169.4 | yes | 120 | |
23.3 | even | 11 | inner | 690.2.r.b.49.4 | ✓ | 120 | |
115.49 | even | 22 | inner | 690.2.r.b.49.7 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.r.b.49.4 | ✓ | 120 | 23.3 | even | 11 | inner | |
690.2.r.b.49.7 | yes | 120 | 115.49 | even | 22 | inner | |
690.2.r.b.169.4 | yes | 120 | 5.4 | even | 2 | inner | |
690.2.r.b.169.7 | yes | 120 | 1.1 | even | 1 | trivial |